{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simple UMAP example\n",
    "This notebook shows you how to run a UMAP projection on the MNIST dataset, as well as plot the loss, and save the model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:15:25.027973Z",
     "start_time": "2021-04-16T20:15:23.102650Z"
    }
   },
   "outputs": [],
   "source": [
    "from tensorflow.keras.datasets import mnist\n",
    "(train_images, Y_train), (test_images, Y_test) = mnist.load_data()\n",
    "train_images = train_images.reshape((train_images.shape[0], -1))/255.\n",
    "test_images = test_images.reshape((test_images.shape[0], -1))/255."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T22:12:46.790121Z",
     "start_time": "2020-08-16T22:12:46.759185Z"
    }
   },
   "source": [
    "### create parametric umap model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:15:28.290406Z",
     "start_time": "2021-04-16T20:15:25.029627Z"
    }
   },
   "outputs": [],
   "source": [
    "from umap.parametric_umap import ParametricUMAP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:15:28.297241Z",
     "start_time": "2021-04-16T20:15:28.292808Z"
    }
   },
   "outputs": [],
   "source": [
    "embedder = ParametricUMAP(n_epochs = 50, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:18:19.898828Z",
     "start_time": "2021-04-16T20:15:28.299044Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ParametricUMAP(optimizer=<tensorflow.python.keras.optimizer_v2.adam.Adam object at 0x7ff6a3816700>)\n",
      "Construct fuzzy simplicial set\n",
      "Fri Apr 16 13:15:28 2021 Finding Nearest Neighbors\n",
      "Fri Apr 16 13:15:28 2021 Building RP forest with 17 trees\n",
      "Fri Apr 16 13:15:30 2021 parallel NN descent for 16 iterations\n",
      "\t 0  /  16\n",
      "\t 1  /  16\n",
      "\t 2  /  16\n",
      "\t 3  /  16\n",
      "\t 4  /  16\n",
      "Fri Apr 16 13:15:39 2021 Finished Nearest Neighbor Search\n",
      "Fri Apr 16 13:15:42 2021 Construct embedding\n",
      "Epoch 1/10\n",
      "1905/1905 [==============================] - 15s 8ms/step - loss: 0.2224\n",
      "Epoch 2/10\n",
      "1905/1905 [==============================] - 14s 7ms/step - loss: 0.1372\n",
      "Epoch 3/10\n",
      "1905/1905 [==============================] - 14s 7ms/step - loss: 0.1230\n",
      "Epoch 4/10\n",
      "1905/1905 [==============================] - 14s 7ms/step - loss: 0.1141\n",
      "Epoch 5/10\n",
      "1905/1905 [==============================] - 14s 7ms/step - loss: 0.1102\n",
      "Epoch 6/10\n",
      "1905/1905 [==============================] - 14s 8ms/step - loss: 0.1076\n",
      "Epoch 7/10\n",
      "1905/1905 [==============================] - 14s 7ms/step - loss: 0.1062\n",
      "Epoch 8/10\n",
      "1905/1905 [==============================] - 14s 8ms/step - loss: 0.1044\n",
      "Epoch 9/10\n",
      "1905/1905 [==============================] - 14s 7ms/step - loss: 0.1040\n",
      "Epoch 10/10\n",
      "1905/1905 [==============================] - 14s 7ms/step - loss: 0.1028\n",
      "1875/1875 [==============================] - 1s 528us/step\n",
      "Fri Apr 16 13:18:19 2021 Finished embedding\n"
     ]
    }
   ],
   "source": [
    "embedding = embedder.fit_transform(train_images)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### plot results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:18:20.046911Z",
     "start_time": "2021-04-16T20:18:19.901067Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:18:20.795607Z",
     "start_time": "2021-04-16T20:18:20.049577Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots( figsize=(8, 8))\n",
    "sc = ax.scatter(\n",
    "    embedding[:, 0],\n",
    "    embedding[:, 1],\n",
    "    c=Y_train.astype(int),\n",
    "    cmap=\"tab10\",\n",
    "    s=0.1,\n",
    "    alpha=0.5,\n",
    "    rasterized=True,\n",
    ")\n",
    "ax.axis('equal')\n",
    "ax.set_title(\"UMAP in Tensorflow embedding\", fontsize=20)\n",
    "plt.colorbar(sc, ax=ax);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### plotting loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:18:20.801208Z",
     "start_time": "2021-04-16T20:18:20.797613Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['loss'])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "embedder._history.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:18:20.905503Z",
     "start_time": "2021-04-16T20:18:20.802520Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Epoch')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot(embedder._history['loss'])\n",
    "ax.set_ylabel('Cross Entropy')\n",
    "ax.set_xlabel('Epoch')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### train the model for longer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:29:02.372354Z",
     "start_time": "2021-04-16T20:18:20.907117Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ParametricUMAP(optimizer=<tensorflow.python.keras.optimizer_v2.adam.Adam object at 0x7ff5f46ca0d0>)\n",
      "Construct fuzzy simplicial set\n",
      "Fri Apr 16 13:18:21 2021 Finding Nearest Neighbors\n",
      "Fri Apr 16 13:18:21 2021 Building RP forest with 17 trees\n",
      "Fri Apr 16 13:18:22 2021 parallel NN descent for 16 iterations\n",
      "\t 0  /  16\n",
      "\t 1  /  16\n",
      "\t 2  /  16\n",
      "\t 3  /  16\n",
      "\t 4  /  16\n",
      "Fri Apr 16 13:18:24 2021 Finished Nearest Neighbor Search\n",
      "Fri Apr 16 13:18:24 2021 Construct embedding\n",
      "Epoch 1/10\n",
      "7798/7798 [==============================] - 59s 7ms/step - loss: 0.1660\n",
      "Epoch 2/10\n",
      "7798/7798 [==============================] - 58s 7ms/step - loss: 0.1082\n",
      "Epoch 3/10\n",
      "7798/7798 [==============================] - 59s 8ms/step - loss: 0.1021\n",
      "Epoch 4/10\n",
      "7798/7798 [==============================] - 58s 7ms/step - loss: 0.0999\n",
      "Epoch 5/10\n",
      "7798/7798 [==============================] - 58s 7ms/step - loss: 0.0986\n",
      "Epoch 6/10\n",
      "7798/7798 [==============================] - 58s 7ms/step - loss: 0.0977\n",
      "Epoch 7/10\n",
      "7798/7798 [==============================] - 59s 8ms/step - loss: 0.0969\n",
      "Epoch 8/10\n",
      "7798/7798 [==============================] - 58s 7ms/step - loss: 0.0964\n",
      "Epoch 9/10\n",
      "7798/7798 [==============================] - 58s 7ms/step - loss: 0.0963\n",
      "Epoch 10/10\n",
      "7798/7798 [==============================] - 58s 7ms/step - loss: 0.0955\n",
      "1875/1875 [==============================] - 1s 563us/step\n",
      "Fri Apr 16 13:29:02 2021 Finished embedding\n"
     ]
    }
   ],
   "source": [
    "embedder = ParametricUMAP(n_epochs = 200, verbose=True)\n",
    "\n",
    "embedding = embedder.fit_transform(train_images)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:51:54.215556Z",
     "start_time": "2021-04-16T20:51:53.537083Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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H+ZlueU4Cf580ccKV9reA/076Ofhp0vfGLwN/c3nQ11o/ShrAf5t0dO8/IG2NuYv08f/Qsv0PAQ+TJoR4A/CzwBbS9+WfrVQYrfWnSd+jz3TL9g9I538+QvreumK01n9ImtHrBdJBaf+QtHb5COn3GCztpxVrTK3dGAQhhBBXQ7dP9Sjgaq2v5OChm95NU5MUQojrjVKqTymVW7ZNkfZJbmWV2q9YO1KTFEKIdaqbm/aPSdPpHScd1fww6cjWU6Sp8q50H/ENRSn1s6TdYIo0nehvnnd/CZJCCLE+daeE/Spp/+kw6WDL06QLBfxaT3IMcRGUUneRznR4LelI9y8A/7DbV72im2l0qxBCXFe01sdYOZ+xuDy3A0/Mp6lUSn2ddGTzv13tDtInKYQQ4maxF3izUmqw29f7ftLRzataVzXJoaEhvX379mtdDCGEEMAzzzwzo7UevvCel+7Wt7xNt+bWfpbVmb0vvkyaLWvex7XWHwfQWu9TSv0b0rnJTdKpNeedk76uguT27dt5+umVEuQLIYS42pRSJ67UsVtzc/zs57+w5sf9FzvHPK318uxIC7TW86lAUUr9Gmkf76rWVZAUQgghriSl1IjWekoptZU02cgj59tfgqQQQoibyZ92FzoIgZ/qXeB7JRIkhRBC3DS01pe00o2MbhVCCCFWIUFSCCGEWIUESSGEEGIVEiSFEEKIVUiQFEIIIVYhQVIIIYRYhQRJIYQQYhUSJIUQQohVSJAUQgghViFBUgghhFiFBEkhhBBiFa86SCqltiilvqaU2qeUelkp9bPd7QNKqS8rpQ51f/e/+uIKIYQQV89a1CQj4Oe01rcDDwM/pZS6A/h54FGt9R7g0e7fQgghxHXjVQdJrfVZrfWz3f83gH3AJuADwCe7u30S+OCrPZcQQghxNa1pn6RSajvwGuBJYFRrfRbSQAqMrOW5hBBCiCttzYKkUqoA/Cnwj7XW9Uu438eUUk8rpZ6enp5eq+IIIYQQr9qaBEmllE0aIP9Aa/1n3c2TSqmN3ds3AlMr3Vdr/XGt9YNa6weHh4fXojhCCCHEmliL0a0K+D1gn9b6/+m56fPAR7r//wjwuVd7LiGEEOJqstbgGG8A/g7wklLq+e62fwn8BvC/lVJ/DzgJ/B9rcC4hhBDiqnnVQVJr/S1ArXLzO17t8YUQQohrRTLuCCGEEKuQICmEEEKsQoKkEEIIsQoJkkIIIcQqJEgKIYQQq5AgKYQQQqxCgqQQQgixCgmSQgghxCokSAohhBCrkCAphBBCrEKCpBBCCLEKCZJCCCHEKiRICiGEEKuQICmEEEKsQoKkEEIIsQoJkkIIIcQqJEgKIYQQq5AgKYQQQqzCutYFEEIIcfOJ4xaVypPXuhgXJEFSCCHEVTdkBvx434k1P+6vr/HxpLlVCCHETUMp9U+UUi8rpfYqpT6llMqcb38JkkIIIW4KSqlNwM8AD2qt7wJM4IfOdx8JkkIIIW4mFpBVSllADhg/384SJIUQQtxIhpRST/f8fGz+Bq31GeDfAyeBs0BNa/2l8x1MBu4IIYS4kcxorR9c6QalVD/wAWAHUAX+RCn1I1rr/7XawaQmKYQQ4mbxTuCY1npaax0Cfwa8/nx3kCAphBDiZnESeFgplVNKKeAdwL7z3UGCpBBCiJuC1vpJ4NPAs8BLpDHw4+e7j/RJCiGEuGlorX8J+KWL3V9qkkIIIcQqJEgKIYQQq5AgKYQQQqxCgqQQQgixCgmSQgghxCokSAohhBCrkCAphBBCrEKCpBBCCLEKCZJCCCHEKiRICiGEEKuQICmEEEKsQoKkEEIIsQoJkkIIIcQqJEgKIYQQq5AgKYQQQqxCgqQQQgixCgmSQgghxCokSAohhBCrkCAphBBCrEKCpBBCCLEKCZJCCCHEKiRICiGEEKuQICmEEEKsQoKkEEIIsQoJkkIIIcQqJEgKIYQQq5AgKYQQQqxCgqQQQgixCgmSQgghxCokSAohhBCrkCAphBBCrEKCpBBCCLEK61oXQAghxM0nCHyOHT92rYtxQRIkhRBCXAN9GOoDV+C4/3FNjybNrUIIIcQqJEgKIYQQq5AgKYQQQqxCgqQQQgixCgmSQgghxCokSAohhLgpKKVuVUo93/NTV0r94/PdR6aACCGEuClorQ8A9wEopUzgDPCZ891HapJCCCFuRu8AjmitT5xvJwmSQgghbkY/BHzqQjtJkBRCCHEjGVJKPd3z87HlOyilHOD7gT+50MGkT1IIIcSNZEZr/eAF9nkf8KzWevJCB5OapBBCiJvNh7mIplaQICmEEOImopTKAe8C/uxi9pfmViGEEDcNrXUbGLzY/aUmKYQQQqxiTYKkUuq/K6WmlFJ7e7YNKKW+rJQ61P3dvxbnEkIIIa6WtapJfgJ477JtPw88qrXeAzza/VsIIYS4bqxJkNRafwOYW7b5A8Anu///JPDBtTiXEEIIcbVcyT7JUa31WYDu75EreC4hhBBizV3zgTtKqY/NZ0aYnp6+1sURQgghFlzJIDmplNoI0P09tdJOWuuPa60f1Fo/ODw8fAWLI4QQQlyaKxkkPw98pPv/jwCfu4LnEkIIIdbcWk0B+RTwHeBWpdRppdTfA34DeJdS6hBpdoPfWItzCSGEEFfLmmTc0Vp/eJWb3rEWxxdCCCGuhWs+cEcIIYRYryRICiGEEKuQICmEEEKsQoKkEEIIsQoJkkIIIcQqJEgKIYQQq5AgKYQQQqxCgqQQQgixCgmSYl2ZC0IqQbRk26QfcrjlXaMSCSFuZmuScUeItbC33uYXDp1kthNwZynPj20Z4ZH+In6SsK/VYWfOxVDqso6dxAmzZ1skoWZ0R2mNSy6EuFFJkBTrQj2K+O3jZ3lhukpo2bTjBiaKE22P6vhpWqbDm/qL9NkX/5b1miG1mTb9G3OMH6piuzbFfpeZMw2GNhWv4KMRQtwoJEiKa64ZxfzDF4/xaK1FJgxQCmZMk8en6mx0LaJGk8yZ4zxnxrzlnrsvqjZZmWhx9MUpnv/yCaycTW5znm1jRebGmwR+xPs/dh+WY16FRyeEuJ5JkBTX3Bcmqrw01QJT4xVKEMckQN42+IvpCuVcP+/aGPFSCJmXXuR1d92FYZw/wB1+doLTB+aIdYJX96k+4zP9why629357BePsvM1GxjaLDVKIcTqJEiKayZIEg6cbfD1mSqzdKNXBFjp23I2SWgkkDPh+IYd5En4UC5BqfOPN6tOtYkizdx4i7AJGmgryEcwH1pf/MY4mYIrQVIIcV4SJMU1MxtEvDjd4ESlQexaEEVAADoB5VAHijR4R06zq3+U3bksY/2F8x6zMefx/KMnOPb8FF4jAUABGb0YIAH8VoyyLm8QkBDi5iFBUlx1T1Qa7G91eKne4Vijwv44BtNMa5BRt0apNUVPsyvj8v6BIqqQZXs2c8FjNysezWqHdi0mZjEwKljyt5NTNOd8Ai/CycjHQAixMpknKa6q6SDkT8an+bPxWT49WWF2/36GJk9SoNMNYBZWO8D0AoYrEWdim/8wY3Gs6fHS8eMEQbDqsf12SKvqEwYJEWkza0pjES+pSeb7Mhx4YoLjL85coUcqhLgRyCW0uCoSrXmq0uTLUxUem6pzJo4w223qFkRxQifUxDZgQH+1QmTbHN04yu0Zizf2F3j/SJnKlI/qGdk6c6rBZBIxV7R400CR+lyHb/zRATqNaOGNndZL1TlvdJ3AnodGKA9fuHYqhLh5SZC8yXQ6HQzDwHXdq3ZOrTWfODnJF4/N0GxFtIJZBqKQyDCZHtpEZBmgHPA9bNdietMWbKAE3GJqPlRyydk2uU2blhw3cBUbrAzlnMmp/XNMnapj2ou3x0SEJCh8LLp9mQaYGeg0AmZPN+kfzTO6o+9qPRVCiC7tx/hHa9e6GBckQfImMz09jWVZjI2NXb1zBiG/fWKCGQ3lOGJHNeF0waHhZogyDpjp29AMPcIAskkAtoNjWuxrJ3x9roX2NB/cMIBtpDXJIEl4Qoe8rZihVA/4zCdfIdERidJpJ0KSNrc6mJgK0BpQkEDchnjYYHh7kShIrtrzIIRYlHdyPLL1Nde6GBckQfIms2XLlqt+zj7LJK8UE1GE3Umw4wgn3yQ0yxCGgAKt2DBVZXKkn3J7jmbGYnRgM0MZl6bropOY3rGotlK8STm4rZgv/c8XaVYaQFo7joCEdJCOBmJdxOxuSwBTQRiG3PGWLRjxVX0qhBDXGQmSNxl1mblPX43fPDbBAT8ENKdHHColmx2dCWbcIXzDhjgGw2S6b5jINpkolMGy2JJxeHCgxN/ZPEy74jN3ssHI9jTvahJp6mdaTLdCZg+eBvIL57OAAIiwqOYgsWBjHeoZ6LiKjTWN24T2jMfGXX1X/fkQQlw/ZHTrdSJJzm0WrNfrnDp16hqU5uIlWlMyDDKmBVbaYdjKDHGwcCdk8um0D1uRCToYhp/eyS1hmTkGHIch22IujLBsAye3eE1n2gabbuln8ngNL+ln+fWeY6S1xv42jNbTbSUPhmrpmNdcn8npA3N06quPlhVCCKlJXicOHTrE8PAwtm3zzDPPMDOTTl3o7++/Jk2oF+uxmRp/PjXH8oWuAsNABT4YJpgx2bhFpLN43eu2CPDRbM+5uHTIFktki87C/dsNn/1PTHD0xUnSWZDL0tQlkF12ToPFq8LWTMzkiRqFPpcd946QydsIIcRyEiSvA41Gg+9+97s0m02q1Sqel4YcwzC49dZb+eu//mtGR0e59957Mc2LT9rtJwmPzTZ4pL9Ayboyyb6fr7c43gkXN4QhGAYkGjv0QJlk7Q66kNDQWYgbENts0LB/wuDzkx2mth7n9VveQkvbbMu6zI43Cb2I4y9O4dXTmmEch5imAiwCQiIgcG3KPpzTwNwd2HPihQpG3mbjvcPIRBAhxEokSK5zhw8f5vHHH+fo0aPphjhaGA2aJAknT55keHiYKIqYnp5m586dbN26FcuyaLValEqrr53oKMWthQwFc+1b3aNE819PTPC5yQpZBU6nQ5DJYiUhZmDg2xZBtgBKEYSZdOKiCUQJrgV5bTBiwh7P4gH7YTo4nJhpMTpg4DdDoijmVBigARsWAiSAwsQmQfk9BTLAsCBZ1ro6N9um0groyzsIIcRyEiTXOdM02bVrFydPniSKFgPkPM/zOHXqFHNzcyRaMzExgVKKuNEgqVYpve1tqx5bKcX27JWZL3m07XHCC9iZtfmqH6G7A4aiJMto0+dMv1pIZE4cgzIwQp/Reoifz5Btz7Bxwy4efGATG8t5DENhhx3qs21M1+Sbf3aAzqTPYumtnv8ZJBgLza0aTeDO4SZFwEk7K7tax5sMO9LUKoRYmQzcWecsy6LZbBLH8cLfveI4Jo5j6vU6M0HIbKNFo9FAeR4bs7lrUWRirdmecbi7mOWJagcfCN1ug6aVMNWnweqJVI4JtoEyTOLBIVr5DMeHN/HWW4a5u7+A0Z0b6Qcxzx2rcOCpcWpTbYqdtBY5k4N2z/kVS9/YCoWr87gZp3vD4rwP01Y0ZjpX5HkQQlz/JEiuY1EUYVkWcRwvNJtG8wnAeziOg20YbA8j+nIZDh48yHSSMDs8tNB/eTW9UG/zWKXBiU6As7xDUGlC0wJtYbUjsq3u4wk1JcPh1krE1lrAUCPhcGexbfTkK7M0qh5hmDB+tE73mgEFuB54DoS9p1leKC+TriWZAJgLO/hNzcGnz+I1w+X3EEIICZLrWRzHdDodSqUSSZJgrDAox3VdcrkcBdclaTWYm5nh6NGjPPPMM0xMTPDEE0/QbDavWpm11kQ6wYtivjJTYVafu4/teRAFaK1JurXEQiskV+twYkBTsD02+Zqz3mKQzPe5tKY9duddZo9XSfzFoFZMoBAs6ztY4Z0dBul2w6Y3+znjR6vMnb16z5EQ4tpRSvUppT6tlNqvlNqnlHrkfPtLn+Q65rouO3fuJJ/P89JLLwHQbDYZGhpieno6XenC9/HbTTBtjGyWpN2mqUw8w+OZZ59ly+bNC022hcLStRibFQ/TNsgW1mbQSqI1n56Y5Xjb4y+mqpzwYiIWBpOmLAuUwopCovxiecpDGe7M2uzvRJwxXcp5eN+3K0zl+wm9MzwTWmzaWODlr50BbTGfunzeOY+ge9L8kIllmdSmA3Q3ri6fctqY6TC8VRZfFuIm8R+BL2itP6SUcoDz9ktJTfI6MDo6ysDAAIZhMDw8TKPRAKU4WxzAB+azes9/99s6pqoVJ2pNTk+c5jNf/AzHjh1D66XVulbNx2utTTOj1ponq00OtTy+W20x4UULg2qSpTuS8dvEpoHRibD9hMGgTg5oKZsBx6IG+DbsdqvMHD/CXDPC3B9x6vEJJo40ugdaen2XECycycyG2NkqVnGSoBPRvyFH34beAUpVkriG1f1oJBEcfX56TZ4HIcT6pZQqAW8Gfg9Aax1oravnu4/UJK8DjUZjYfBOs9lc6Gfc2JhbPoUeSDOYGl4rvW9NY1kWw68bZv/+/QwNDTE8PAzA6PbympYzSDT3lwr0mSb76g3mIshYFhHz9b4IYk2jPEC+O3+xY8DGyYimUyPXOkjh7juxCxne3F/g9myWl6Y92r5F+0yHyvF0xYCE9Opuvi5pomkaDbJJHpsMcQdULkMU2jiO4syBKqr3ctDIkMnahN0pIjpZOaOREOKGsxOYBv6HUupe4BngZ7XWrdXuIDXJ64BpmpTLZTKZzJLcqxYrDFDpskmTgNvKpJwv88QTT/D000+ntVDA9/0VBwFdLqUUbxksMexajHshKrHI+pok0j0NoxZYaSKBRCc0HZPYNjg+1MdMNkMcVUlaTTY3NW/oWOR3biPMlgmKefSoS2Zjtpu8PCImpmGk41RjIixKVMqZblejTdTOQJgnaIFhKqLe+ZFJhmwpi+4O/kkiOPLcFFEg2c6FuAEMKaWe7vn5WM9tFnA/8F+11q8BWsDPn+9gUpO8DlQqFSYnJ/E8D8uyFrLqzE8LWUlHGfi2g9XxOHLkCA3DZrhUpFKp8IUvfIFSqcTWrVvZtGnTmiU9nw0ivjFT4/OTc1QNCJelerNbLULXBaXoZEEZIS4OVhjy0MkGA7uGGOy3eCVUWBuyKKV4+JYhwjDhG9+eZu5khwRIw66iP4mwcImw0SaYhkKhUQ7oblBsuxDkDLJRnFY9uy3OtUZAzGIyu8BLqEy1Gd4sfZNCXOdmtNYPrnLbaeC01vrJ7t+f5gJBUmqS61ySJFQqFcIwpN1u0263F+ZGzs+ZdF0X0zTJ5XIUi0UcxyGnFEO5LN7WHUwYFnU3gxdGHHz2OQ7v20cul+PAgQPs27dvzcr6nakaHKhzSyVmz8l2OkKmpxu0EAVYWqdrO6qYPC0UMDZc4H07TVoM8tm6xUQU01CafJ9LYSBLeSTLfW/fjNmd5uiSwSDNsDOfLMgOIwYrGq0jEl8vXP65Pjj1GEORlqW7/4QN3laX4ohNacShNORSnVy1xUUIcQPQWk8Ap5RSt3Y3vQN45Xz3kZrkOnbmzBl83+fll1/G87x0GohhYNs2YRgSRRFKKfzQZ9qaptwug5mjUyxjVCtkO9OoZp28MinNTOD4PodLJQbdHBMTE0RNi9L24TUpqxcnJIbmy1aAow2sXEShU6fpFBlu1vEzGarlfrIRREkEiU3TsEHBPi/k3+T68TUUteZDpSpv7b+FVtXnhW+fBtMgZxn0D+WYOZmmDbC741kjB9Ls6WmfYpycxWQYdJq8wATwweozCMNkoSNzuAZKhWBbgGbiUI0H3rtjTZ4LIcS69o+AP+iObD0K/N3z7Sw1yXXMtm1mZ2fZtWsXtp02XRqGQRgujkjVWqMTTSbMYGNDHOGEATYJbb+NGcdkwoDpUj/1UpkYxVQ7pFXvMDLWT2EgHfUZa01wGYNXpk7Uqc90eLrW5POzDQoDLl7Z5KSbo9zIYdkmpU6DUCdooG1oMKGsGxDG6WhXr0M9SXANGJsN2dg0MQwD0zJobcxwsNWhOtVebF7uedfGC7kS0qBpmSNguAtJdcxMOvg34zoYPfczgaCR0IwivFZIfdbnzIHKJT9+IcT1RWv9vNb6Qa31PVrrD2qtz/vBlyC5jvX19XH27Fleeuml8yYEUCiKukg+lydnWfTHIRmgTIlYB/h4mGEnHeWjwLcUTxx4hf1f/xKdVh0/SfjrqSpPVS+9udHNWViOiaEUmy2DetWjetqjmjeZKcWoMGC8fzNF30mbWQ1F2bTwEgs7TDCCmA2xR0kZeAlYlskXvTIHWj6Zgs2mQDEwEeC3Q4J2DASQpBcJGk3C8sFH7pI+1iRMU8NWpj2cjLFkvSzXjIhqHYJ22hI7dbx+yY9fCHFjkyC5jpmmyZYtW8hms+RyOWzbJs7mUPmVB5fMN8Hatp2OhAVM7WCRobTYTUc769J0XGbPnOHYwdOcODNLRsG9peUrMF5YeThHruRgKcXjtRZnTM1sv4UThcSWgaHB9WIaVrwQ3NJ5kHmUYZJYBrP5fmqklb+ThoKKz7HpNGBnsxaObRD6CaatcKkA6aichIjonJUqU6r7YHUMblZBDF4zYesdfWRKBlMlg1BFJE53HogJfidas3mjQogbgwTJdcw0Te644w5838f3fcIwJK5VUf7KCbnnm2EbjUbahwloBaiQsBxidNsb+ztNRmtz1IaG+Mo3v8xjf/U53AN7sZtzMLX/ssqa6IS8qXBMBY7BWGeOvriOb5s0MgadnA1KsTDeVSmCrA2mQTPWhKS1uaikuG/HIJFr4sUJ2+8ZZs/mSSya1OdCfPpJF8OaxADsVZJl6PmhqyY4OTsNmhqmTtbQGuKSIgky2F53KbEQjj47w8TJ2mU9fiHEjUmC5Dpn2zbtdnthTqMGkvPMbzSyBknPKhcK0jmFQWPJhHntOPhAW8c0Os10DUodEberl1zGb83VeXyuyTbDhmbCSKXGjqDK9s5pHGWisooBr42jNQ5ghhFuK0ibX2ON1YmIw4QQ2OK6bB3Ns8u2mT2aBqwgu5UgyZHNW+RLDmAQk0Fhopa8hZc9LzGYJsRRkiY31+DVNUE7YePZmIxelg0I+Or/2CuJBYQQCyRIrnOVSgXXtSgWAceh4ubO6YWbp4Gok2BgouIYfB+CgExoMdAZQLO4UoZvZ1CGgTItQhTZbJbpSo6p5LZLLmPONIiU4pYTAX1TbV578gD7zQ08XboHHYZEgU+UWISmgwfEhiYwSTsLiQlcEyxFDPhaU7JMRrIOCsXE0SrZkUG23D7AvW/fQv+WPpSdATsLJMvewT3zPeennhjgNaM0qXm3GqtDIAY7f+4HoFNP8NrS5CqESEmQXOcMw6BSqWKaQBCQ9TtYwODg4Dn7BkTERBCGZOoN+lstcJyFxY3TEJLWM3VYQScdVNwhiVr4vs/I1hIjW0uXXMb7ijnePVTmoYfHMEZbPD8yRtXNU2glaNpgKFoqRqPTOq7ZnaGhVBrMbANbpXXCKS/gk2dmmFMJfRuy+J0Ix7G47+3bGNlaptjvki9bEDqYrrUs5dC5SfpiD5Kg++CXxb5wlXFKhnwqhBBd8nWwjh0/fhzP87j33tdQLG7BNgxy3SrS7OwsRGltcb6v0UCnMcM06PT3URkYOOeYHZpE+Jjdfz4J9U7A4cOHMa3utItW67zZfJaLUTw6PsWvnh7npDPK6Y2bCfMWXsYgssuQKHJ+B1Bp7TFSaWepuTiaaP5sGdPkTX15TnV8puc67Ku02bi7jDIU/aNZbnvdGLsfGAUFpaEsQ2N5smVzpfi4RBKc//YFCpSxNhmIhBDXP0kmsI7lcumk/1deeYVqtQpJgmWaxFqn/WZWunjwfB+aPd+eaIBjOQTRuZEhSxaNxunOKyxiQQxHjx2jODSM6h+g0G4yODDA0NDQRZXzQLPN3mqdU52EpB0R5Ez6G3NMF7oJ1B2XxuAweV2lFRtg5EB1yxom5KKEdtagX0EljPmD8RneMthHy7BpZRSRBltBpxkyceAIu3cpTm3Kket32HH3CGcPzDJztkVl/OIXmHaLBn5zaUYgABQE7Rg3c9GHEkLcwCRIrmNKKfbu3UutVkMpRSafx+90lrUwrlyFmg+QmqUtkjEx5pJqV7rfqWqNopMlTgzeumUbQ9nepaXOL9QasxWgmtAqmdga2o7L0qU3oEgd3x4kSgDdAdIRr9k4IYfBA26VxCzyA5s3cW+5SKzhll2L0Spfdpk6egaOHaDo3M3uu7dw4vAcZ4/V8LwJ4iTGNEZ7zhiRYJFw7hvdVPrcAEmaeCAO04sOrTW63cbI5y/6uRDXVuJFJO0IayBD3O1bbr88g3IMMtvKWH1y9SMujQTJdezMmTOcOnUK27YJggDP8zBWGXnpui6+75+zfXnDYYYM5XKe0POI5uoEpomXAd1pMjh5FvOW2/FWCB6r8eKEIcdmIONgdEIMFFpBK1tIB5smSTqK1YYJtbU7WCeBOOw2kdq0DHA6ES9Q4iOb+vj+0UEs89yegFzZZeg9D9F6MmFsyxCbbt/C898+QK3WItTgki7iPL80VwYIbWhpGIi6T0b3sbXrKz9IpSCK0tviuTlaTzxB6b3vRa1yMSKuPZ3otJlcKZrPThKONzD6XPyTdeJ2iJ7oQARqQ4bRH7sbqySBUlw8CZLrWKVSQSlFp5POizRNMx17onX6bQ44xSJBo4Hv+ws5XRMMMCyMJKBupVlkStHigJxarYVhQNFxMBKNr8Fs9/PkbJN745iyvcIAGK0JE02mJ3hFiebzUxW2uTZeqcDZoN5duiplWDA4E1LNGYSGAhVDpDFRxFYOlEXW8+lrxVTKDi4G3kmfQ2aV23ed258KYI+WKN6zla1qmq/97mNk504TxZuIcVBGWuOLgJYNmdDCDVmcm3kRwd+0VXeaCZgDAxTf+lYJkOuUjnU6evlwFa0TdDsGR9HZPwPNc19sPeEx9+gJRn7g1hWOJsTKZODOOjY8PMyGDRsW/o7jGMdxMFyXpmniA81GYyEozScTaMYGzTAGIpzIwI2WN51G6ATqjkNcyOMqh6DUIWnNUZub4yszdfx4aY11f8vjydrS4aBTfsCkF/J4tcHXK3Uc0quu+bMlQLVkE2YtMBWECdlAY4Vpejrlx2SjmFpWQ6vNNPANTuMVqis+H14rJHekxe49e8jqKio/SFTcQc4tkWfxIiADDPaMZL2UN3n/xhyZQhpWlVLS1LqOeUerRJNt7KEM4USL1svTtPYuDZDLh58Fh+bSmqcQF0mC5Dp2xx13sHv37oX1IwGCIECZFiTplAkHMJf1/RWMiJwRA5oMaaq5pLQY9BRGurSi1guBtRx0+OCgz4aRYUwFRztLm25vzWV4bXlpwDjY9tmUtdmTy1C0LO4uuGyxDHpDcugYkMQQa3AUidskb04BCdrUzBUytC2TwFOQhIRmnrp57vQWAL8TUux3MXNFZt0H2fm67ajSKG5u5bdx+gxcmtkzLUlNd52wR3MEs22qj57AP10nISE+spgxSXf/tUh4ZX7+j6vQgSSLEBdPguQ6ZhgG+XwepRQtWnRIm13jTpuCjnqaEZd+6DtK0bIs0oZGE6UU9U7a7GpZFkajjk6WBsGoWOLphs+OjMk7B0vckl/ab2MZiuyyfsKH+wp8cHSArDJ4h5HBTxKiWoTd9iFeHFlrxDEkGpSFHUV4Kpv+jU5rmLkMyaYiYHBHeYAhd+lizfOSMMHtprerBWWC8YOMDgY4GQfrnLSzEXUL0oW1QtIFyC+sMJDByUgvxPWi+tWTeKdqBCerRHurS+bC+mgCYhxgDIM2MZ2zIRPfOHGtiiuuQ/JtsM4NDQ0xMDBAZ6qDcZHXNFk0SbyYl8fRDk7ooIFmnJCLY1Sk5leXAiAfx+xSHXYEU1Duu6jzzPdPliyLbY7D5sE8/606iW1GYC4ePHFs5q/Hmnb32POJBLps4F3lIlbGZXd+5YEV/RsLC/8f2Vqik7+FUtvizveV+cx/+C46iYgXYr9PMdIYzJ975cC73MZtfZiWXDuuVzpKSLyI9ovT1J44AzP+ubkFuzIYRCgsFHk0PhqrrBh63djVLbS4rsm3wTrXaDUYGhqiv9CPbSz2lZ2PQc/Vj+8Rd3tmCvk8GBYzg/3M9C1tUmw1GnjlO2H4lksu40ODRdqDDk/WPbJFi6LpM6B7am5eAGHA7vAlhq3ZdGpIYqaZgJQCrSkquHewyK/eugX3IlLeVCZb2KUBNt8+womXpxnaXEpXJOmfD4Y2Fmb3DW6SXhH0JvQLgQi9EKlDsH3uetvmS3784uoJplrMfHo/tWfHYcq/YHu61R3fbaMoYDD0yBacsoxuFRdPapLr3HHvOG2jTblcXlhTUuv0m6FDWrt0tQN+QOC6GKr3RdX4bozRnRfZarXIABYJYTv98ogMi4btMOq3uGtTgcvxcqPFQ8Usnz8+RSVJmGRg6dyTbjCc08N0KHW/2BLm0+SoWZ8kY1KNQnIrTP1YSf9onkzBQmtNHCY88sHdVKfbHH5mgspEk+okPbVKgAirOIntDtOZcUgbYi18FBYOllVnx70DDG5ceRkysT74sx3C/T0rtVxKp/POHFYpg44SlLQWiIskQXIdO3z4MMlUQu1sDb+zOMVjnur+I44hibEU+ERYCy+rwukuJaV6opaFRQYLt6+P6Y5Pq1BiZCSLHyZUq1X6+vouuowvN9vsb3i80KhxX3KYz3ZGIJMFtTjYyE4MQhLmjEEIE3DS20rNKpYVYxY9GvYYGePiplokiSYKYkzLAQ3DW0rEYULfYI6737KFTM5h72OnOPLCJPWqT0iAhYGV9NOpzjcDp6uJgCYm5MF33M2db9iKISnp1h0da5JOSNTwqf/VESDtYXZJv8Dm4+QFX7nZAGUqkNdYXAIJkuuYZVn05frIulnq1TrZbJYwDFFKobUmQ7fZyAJME9P3ycY+cS6PiUnEYnPTPA14wHCxCFHEkGWQiwNe+/0/QsmEbPbSFl6e9kIKlolrmJxyhuiPLOpqabALje6JVQKWBt0EbJTpkU9abMr4nLY3cbrlEyUa6wJfYkEnojrVpjSUwTAN+jfm8Vohg2OLNeH+jTluL2zi6AtTzLVnUQ0XHStKAw71qaD7pCkyWPRtcrnlwTH6RlZem1JcW8GZBsHZJrVvnYZK2mSuiIkwsUgX347p4FBMGydWSTts7Sji7ihLbl5xSSRIrmPbt29n8+bNzM3N0W638bw0N+l8c+sSSqEtCzsIMMKExDbpjh9dEiZDwDEM2sU+Su0GluuS3bmH8bPj3HPPXZdcxrtKeUKdsCvv8n+fbTFrnZsv1jY9cmGdbFKnafThJTlUnNAx8gS6RL6VYWyDyy2l3AUDJEAmb7P97sW8svmyS768dC7o1ruGcDIWu+8b4dTBOaZO1rEMA8u1OBHP0KqDk1EYlsE7fuROhrdc+uon4sqLWx0qf/ky0VwCXjddIJDFXHhfK8Ccn3jUGyANlgzqMQxDpn+ISyZBcp2aD4Qvv/wys7Oz5HK5NMn5MjE9C2CYJpFto9X8YIVF3TWH098mxOOn8Lv7OLUaxqYPXFY5hxyLThzzoy8c4UQcsJhiPEqbVk2TvniazdWz7MvfgefmsbwE01B4lgOOwVxGcW8+y49uuriE6hejPJTWCpNYoyPYtGuAO9+0iVe+NU4mZ9O/KcfQpiLl4RzmRfaDiqtLRwn1J04TnA0xgsWLp4SIhAi725ISoEiwOacdYNm1ZGZPP/bQpbWUCCFBcp06c+YMkOZkVUrRbDaxDYOwJ3drzLnDk3Vm5ZF78y+0QTrfMF3X0cKOI6IgYMuryLx2eq6KEfjcnneY8ENORBritO9nS3KYqXiUigGemwHTIHIUjmPghJAoSAzY3VZMH69T3Zxn2yUkV7+QfNnl/vdsTy86NGSLDjvuHSbwInScSIBcp4LZNlOfeIn2tE+nz2HQTaATQwQGFgqDhHR1VAODJOPhBU3cZCjtf+/J0wuAAfaANKeLSyffEOvU0NAQg4ODbN68mU2bNlGv17sBMiabrVA1LGYyBSrOuVfG51sJ0segksuTISITR2QyGexSmRNBdJ57nd+Lx45zt9/iQ5uG2ay6CzwHHm6zSZUSkeNQKWfTxAFKga0JOi1GqHBHzuGRUo4P7RlGl23O+lcm241SCmUodt43TK7k0DeSWzLvUqwfOkyY+ZMDMB2Q1VBqhOl7p/ttpQADo7uEt8ZBkQlcrKSQBkiXc0e95g2IpalVXDqpSa5TmUyG06dPs2/fPkZGRsjlcrTbbQzDxHEymIGiz2ueM0U+Ak72j7KpMsny+lgIuKbC8GuQNAiMPHjgKoORjEsQzBBGDfK5HRdVxkRrDKXYuGs3A7MNJto+x/2QoqpixW28xKVhbQSgZvRexRtoyyJnRxgK/s6WUfozVTaUN7LnAnNAxY3Pm5wlmUinOymlsGNAa8IIEgLMOB0JZpnpuz8GzMTA6KZgZPliODZkH9iAVXIQ60fgdTj9ykvXuhgXJEFyHdu4cSOnTp1CKcWtt97K/v376XQ61GpZiqxc47JosakyyUpfBwkRYQy5IMbXila5Sb/fz64d27lz+zaSZJY4al9U2Y61fQ63PR4s5fjk+Cz3BAbGpM8bBnPsb1U4rRV9XhbHT2i4adMYOsagRaJKxCiGlIlNHa95llocMDTUj2lKn9HNLKr6tJ46AF4L6MkVXEtrjUmUoFVMaGqKjk0cgCZC94zjDkj72hcut4oGuTuGsIckWf16EtsxtbHahXe8xiRIrmOmaZLP59m3bx+1Wg3f92maTXzDZzBcOQk4uIs1yCQhG8d0bBvQuPjEJISOiyJDwdfkSzm2bduGYRjY9hiZzMWl7NqScWhOjOOriHszFu/bNMiL+QZfbzc4qPpxsyFaG/iWwgKCSKOiCMcBX0GBDi2d8DNbdvFAKWYgt+mCmYTEjS2qB9S+fQrtD0BBQXOxeTQizZpjWxk0mihKCJkfnLb0a2yhez1DOt9pLqH+9VNkPlyUJALikkmQXOfuuuuuhcWXAbJxFiu2wHYIw2CFjKQWGk1AgGu45DQYnsd0JiZDFhMDTdpsFWqfYmaU+++/H9u+cG7Tr87W2ZVz2ZZ1sQzFhmKBztxZHvYifGeY/uEcP64zvLddpmAa/LfjEzSCaKF7yE0MPIqMmlByB3nPaD/fs3HjGj5b4npW/85pOi9O0anHmDokxsek0K0RpgkEYxRhlJAxFXRnAi9nEqd7G+nFIQrK79omAVJcFnnXrHNaa1zXZcuWLTiOg4mZJhFYMUCmYmI8PDQaL5dFBR4do0NMTNtoE5Y6OFgUKHDrrbcuWYrrfG4vZBhzFxtycwMDJGYHbzbglWPjDE0+y46Mw/19Be4o53nbaD8bXRMfjYp9vIyJbSiGHIdf2bOZn9khiaZFanbfDO2Ds8S1mEgnJCSYkY0ibTY9RUxdxxhaY1kmpjJQq17jm4DJRDsiQEOfhTsig7TE5ZGa5Dpnmiavfe1rqdVqVKtVOp0Ovu/T6XRWvY+FRZkyADXfpzy2mcFu3lcPD9qQyWawTZtbbrkF4yISigNsdJf2dB6dmuGMOcbdO00mQ5+XvDL3o3h0poJSik6SYCuFEwQkOkGR8Ms7x+h3HF7TV7ioxAHnMzvepNifwcnK2/h6Fpxu0PjuBMmEhwMUMQCXyIoXvqA2Y9IJq3SURd5O8+uakH6DrbJwaIRGOwp3Zz86jFGuvE/EpZN3zXWgUCiQy+V44xvfyJe+9CVyudx5g+Q8DdTsDF6nSUyLLHkG64pgsMBDr32IjJ3Bsi7tLVANI/JmWiPc5NpkTYNZz6dlWjxQHMZ6/NsEO29nR9ahE8fcVsxRDiNalslQ1uWh/iL3lNZmAEXQjgjzsQTJ61xY8XBmO+kSo10RCb2Rz0CRtQrQTbIR0K0vRqyYtFWh2IwFAfhHKsRehCFBUlwGeddcJwzDYMuWLWzatIlKpbLCHnH3J63tudkp4sRm0O8nJqKDTROwMg4DxT7e8PAbeOWVVygULq0Z6vl6m40Zh1vzGQYGBhhvdFDZPB8uZDGShCjjMBLAwY7HHYUc7xnuY+eeDTwze5zXDe+kYK/dW27j7r41O5a4NoKJJipnYW0vEsws5muySAhR3UWTuzlaDXuhf2hJm8aFVgLJWgQn69h3yxJZ4tJJkLyOlEol3v/+97Nv3z6+853vUK1WSZIEM8xiZetEOiCO06+PRpTDzjgoH0wsTDqUiMhYMTu3bCOTyXDvvfdeck3yTQPFJR3ZdxV7pmyYJvbICB/tXu1PBhH7mx3yRsRrMhXyMnBCLGPmHdoH5giOVBeyYEQEWFTpUMbCQ2Fhk1/yvgvR6AScCzXZb8iQGS3gjMr0D3F55FvrOlMoFNi5cyejo6O4bjrZo5AvEoZ54riQTqMwQIUF/FaODuC6FfrcAAeLYXOCYtFEKXXJARLAVOqCUzVUd58B22R7zsW2+xgYeANKydtNLIrjhOpEE3+6gT/bIkHj45NYHiHlNDm/YS5Z5m2RQuvuFJH5amXv+LP5t9q0h9mfwR6RICkuj9Qkr0O5XI7R0VF27NjBwYMHieOYAfKcOnWKKIpIdILGIJOkqeZspw+vE9A3MEB9oMjG3bdclXI6hsH2NczDKm4cSaI5+NQEne9OMKjbUDJQNUUSJthk8DAJSHCSTM/6qKl0ziRgmpBlMcPOfD5GxeLqHzEkiaSjE5dPguR1KJvN8qY3vQnTNMlmszz33HPs2bOHJKkxM1MljjM04gTikNENGUr5TYyObuDuu+9meHj4okezCnGlGIai2PIpdgLMwQKWCtE1j6w933zfpBTZmNbS6UkROr0IVEZaw/RJa5Je78FZDJgmWHlJRycunwTJ69T83MbR0VHGxsYYHx9n8xYX08wzOZnQZ5rEhkG+1Een6XHrrbcyOjp6jUstxKJMFFCPQszZGHNZ8vFs7BIaEcayDMQWCnoX9U5YGiBhaYb/rVmcHbJWqLh8EiSvcyMjI7zzne/kiSeeoNMZwDDOsGNHhkqlwp49e+jv72fbtm309fVd66IKsYTXniKy28RRnkwb2qpDW3sM049GoY1XOWjCBdt2yWySICkunwTJG8SDDz7I+Pg4t956K7Ozs1iWxebNmwnD8JwAGXoe9irrTgqxVnSUEE53sDfkVh7sVd5IO3OYqVKF3fsLBEZIzW4wHPSTqAR7xTT9yxiky2A1k6VTQRTgWBj9DupVJq0QNzcJkjcIy7LYunUrAGNjq6d7a9eqnNz7Arc8/EaMi0xHJ8Tl0HFC3Aywk9zSkaddbjXCmYNqe5aQLP1Jif6gREKImTcxA3NJ02lEiAEYvQkZE8BLoAB0un938xCYY3kG3nlxy74JsRoJkjeZbKnMzgdeKwFSXHGGa5Hd07/q7e72PkoHS7xeFWmXPeiumhTTIYqbZPUYsY5IkgTbdACFZtlIVQU6hDgGy2Wxf9IGwzIwChdO3C9uLkqp40CD9BIs0lo/eL79r/gwR6XUe5VSB5RSh5VSP3+lzyfOTymFk5E1G8W1ZxcdWsWYuUYFPecREXVvyRE0c/h2h2ZYox7OAWlOYnN5E6yGOImIA5+oEy02uYYQN4Or9ljEdedtWuv7LhQg4QoHSaWUCfwX4H3AHcCHlVJ3XMlzCiHWP601RsYisTU2DnmzhIWFJl0UKyagWauQtfOUzP4lA1aXswywLBONhzaBggEZhbujTOfAHFpfKG+dEKu70jXJ1wKHtdZHtdYB8EfAB67wOcUaaDQa8uUirow4gqn9eMeqFE8rnMggjEJiHdMOajT9CkVnhFhDGEdgg16oZcI543mU1U29mIGCmUbNUBNXPdBaFvMWy2ngS0qpZ5RSH7vQzlc6SG4CTvX8fbq7TaxjcRxz4sQJ2u32tS6KuBGFLVT9DPn7BqGY9hkayiAMAxwrS8YoEMUhw9kxHCuDjbs0687yVlQNKDCUharFUI0wNhfof9dOsrcOXrWHJdaNIaXU0z0/ywPhG7TW95O2cP6UUurN5zvYlR64s9Il3JLqSfcBfAxYGJ0pri3TNLnjjjskM4+4MjJl2PNOjCDGGSnAXAgmRKbCxMQwTExMIiJ0FBNZioQEhYGFsXIu12WNHokXYJZk+sdNauZ8fY1a6/Hu7yml1GdIWzy/sdr+V/pb8DSwpefvzcB47w5a649rrR/UWj84PDx8hYsjLpYESHElRXMe/ok6zgMDBLlZAlXDzWYwSAMkgI4jYhWjSejg82zuZSas2Ys7gZcQzLRJ/PP1ZoqbjVIqr5Qqzv8feDew93z3udLfhN8F9iildiilHOCHgM9f4XMKIdY5o2BjFh2iWhu9M4NdLqfzHIFYx9SDWQxlkTVz2NhYsWLTXJGRaPUpJUtEMZ29s8QNGeEqlhgFvqWUegF4CvhLrfUXzneHK9rcqrWOlFI/DXyRdDrxf9dav3wlzymEuDoSPyKc7OBsKVzy4BjDMbFHc1h+jlJ9J/50hfnORi/2OOsdZyiziYHyBmLdxmyBo3LU8cnj4sxnJyiSznjr5YDZl8Xqc7D6ZBUasUhrfRS491Luc8WTCWit/wr4qyt9HiFWorXmtB+y2bVllONa04C+/GWolFI0W7MYvobAA6MGSR+WZdPnjOKYWaYrJykUbDLmMAUMlDYxehOcLw+QAGWX7J1DZG8bRMlC3+JVkneQuKG1k4Tn623asqbgmjMyFu628qu6+Nh8x92MvPs2Mn2zRMlR6sEcJjb97giBERIDmXAUtEEnqGIm57myzyucuwYpPrCBwoMbsIpSixSvnqSlEze0vGnyfSN917oY4jyi2Q6JM0aSmCQ67i6H5WAVcvSpoYUreTczSlNpBpbdPwbMvIGztUzx9WNktpVRprQaiLUhNUkhxDXljOQpvO02HMdiwG0ubC+3c0vyogcKfPQ52XdMIP+GTdijOYLx5soTz4S4TBIkhbiBRFHAE5/53zQrlWtdlItmZCyyW8o4tw8BaV7h8dYRZttnl+w3gEE/FnE3485CsNyZw3QsSm/ZSunhMZkbKdaUBEkhbiDViQle+cZXOfTUdwBoNpvXR3pBrcnfv4tkaDMAPhFn9ESah7WrE7YIgjmc7qwO0wJykNtUIm4GKEvJQB2x5uQdJcQNojY1yZd+5z9SmZrgwFPfpNNu8fJzz9LprP/0gsoyyN02SPkt28GBofx2SsMjeO364uogCoz5rywTcBQ4Frnbhym/fRuGLcu/ibUnA3eEuAGEgc9LX/8Lzh49DHHM2X37efyP/yeVs+Pcsns3uVz+WhfxgpRSFB/aiLdvFiZa2KaBpWwsHzAV2TAPNjCYI3/HIPaWAu5gDnsgd62LLm5gEiSFuAEE7TYzk88xsHkEv+oRdloceeYpDNtm3zcfY+z22zGUYsud9677+aJ9H9xD0giwR/PErQCyJjQj/GM14kaIjhPs/gz5PUPXuqjiJiBBUogbQKdeJ2yUSeIK2C3iKKCpj9KayeN95S/o27CB/k2bOfb802y7+z5My77WRV6VXXKhlM5xNMqZdOOAjT2QJWmHqIwlg3PEVSNBUogbwPjBfbiZAkHjBAETKCfGwsAOEvygznNf/muGNm8hWyyx7Z7XXOviXjYjd3nBPax4EMTYo+u/2VmsLxIkhbjOtWs1Zs6cot1s0q5VwbDSoZ+hwnFDskmOaN9+Do2fxrRt7n//Byj0XWSi8BuEUqDXeTOzWJ9kdKsQ1zGdJDz6P36bM4cOUDl7prvVgdABLLTv4PkercgnUygxsn0Xz3/xr4ij8FoW+6qz+jLYIzLAR1w6qUkKcZ2aOn6EwA+ZPHqM2mTPMq1JTDpHQtHGJXYVRUexZftOCgODhEGHJEmQCRNCXJgESSGuM367xd6vfYW+sY08/sd/uBggldFdlWMx/FmEWGGaTOD0wX1Elsu2ex8k9DxsRxKAC3EhEiSFuM7MnD7Ji49+kYQEr9EkNzhM/+gGymNZDnz7aeLO4oonTs/9OnN1tKU4fXAfZ/a/Qml4hJHtO9f9lBAhriXpkxTiOuO3mjRrc1TPnCYMAkhi4iji+EvPEfvBkn2Vm8HOZrGNApoI13LIJD7P/vXnOL3vZfSrWA9SiJuB1CSFuE7UZ6aonB3n7KFX0EmC6TrEcYjXSegcO4IOQ5Z/pLXfgVwB27YJ/YQw8NBxBChKQ8MYhvRMCnE+UpMU4jqgkwSv2eSVb36NV775TQAyQw3cAiSehw7ns35HS+7nlPOE7SZtP10VJMHEzmR55P/42+x57SNX9TFcSOh5HHnmSULPu9ZFEWKB1CSFuA4cefYpvvGp/0ltaoIk8MG0MDsFIk9jZ3LoOMaKfRjq4E3mgQTQmNkpaLkQdT/qjs3g2OZ1GYgs12VgbDOWKwOKbgahF3HmwPpf0k2CpLhuNYMmpmGStbLXuihXjNaaUy+/yJOf/wyVM6e6o1eBOEIDVhb8uoFhGnghMFkgXXXYAGI6VQOintGuOiLoeMTh+psnqZSif+Oma10McZU4uTLb7n3/FTjyP1rTo0mQFFed1ppT++cY2lQkV3IufAdgdryJTjRDm4sL2w5WDuKaLncO3XmlinrNJHHMwaceJ1ss85e/9f/g1WugE05v2EqxWWeQiCTsYJgWRD7JQitr70hVhWEYuCh06OPZLoZlki2XaFcrRGGIZa/fHK5CrAcSJMVVp5Si2J/BzV782y+Tt2HZ2sH3jdyH4sacvqAMg8nDh3jxsa8QNOsL2wutBgMqg4paaBRmxujmXFv25GgNKJK2SwfAdSEBrROiMGTu7BkOPfltdt7/WtycZKK51vwo5vhMm1tGCzIlZ52RgTtiicfHH2eiNXHFz9O/IY9pX/zbL192yfct7asylHFDfaFoHdNqHUVrjU4SfM9PA2TPCNSBqMrm8hgWBn1bfHJFDzOTOfdgSkEcL/6dgOG6hJ0Op15+ETubZdPtd0qAvMaSRBPFCZ0g5vhMi+dOVgE4U2lxai5dLPvYTAsvjM9zFHElSU1SLLGluIWBzMC1LsZNKYqadDoncJyN7H/820yfPIxTLBE0FmuSSRxyavJlkijEmhpEJQGx11n5gNbSj3fi+wB0Gg32ffMxhrZsp/T64Sv1cMQqWn7EybkWsTnFCyc61BoZDKWoeSHjlTYf/3rCWF+Wuzf3UXAtxisdco5JxpbpOteCBEmxxJbilgvuo7WmFbYoOIWrUKK143nj2HYfprk+a0+2XWZo6G3pNI/HHqVdb5AsGWATQxCTkAa7RrVCfiyEtgXR6rVyK4yILDOtXQJ2Lke2VKLYLxdD18K+s3V++g+e5pFbNAYOB84ojs20SBKIkrRXYedojhOVNn/01Cned/conSDiZVOxe6jAaF8G15KAebVIkBSMVzvkHYvyBdbqO1WZ5Wsnv8qWviFemnmJn7zvJ7HM6+ct1OmcJklCcrlt17oo5zV2623MTZ6l/cS3sSyb2O0mBcCEJWnJFa1xm4XBOoaRzvywDApGCT9qE0YdSh2Pai5L0v1iNRLY89DDjO7YdXUfmOD4dINPfvsIs42Qv3oOBnKa6WZMRPrKljNQzrlUGh0qDY92mFBpd0gSA0MpNvZn+L57NnHXpjJ512LLwPq84LuRXD/fcOKKmah5DOSdVYPkkcoRRvIj/MX+J/j4K/8vllXDsRzeuuWtZO0su/p2obXGXOfZW/r7X3uti3BRTMvGUIokigh8Hx3659m7p082ScByyRayRAmEnRgnV6Y9MIARBiQdD5IY13XIl/voNOrYK/VnijX3zIkKkPDv/voAR2caJECYQLUTA+mqLTHgxdCq+vgJgMYA5poBu4cLtKOEJE74zLMn+S9f83n/XRt4YPsAj+wawjINTKVQihuqn349kCB5k/Iij+P14+wo7+D+basvwDvTmeGp8ac40zzDqdZplFXBI8CLPD72hY/x+rHX8+E7PkyiEl638XU8dWyOzf1Zxvpu3LmLV1pxYIg9Dz3Cy1//KrlSmU67SdxpX9ydI59OPcIwDYhjTMfENBWhrxneth3ikJ33PUSu3E9peOSKPg6xaEM5w0unqpysNNFRRNaCSEMQQ1qHjFAEtMMs8xc+JnBX0aEdRJyqekzWAnYOZZhpBvhhwqMHJvnUi6fJBiE7h10K+T5u2VDkJ9+2W5pj15AEyZvU3tm9/NmBP+Pd29+NaZjcNnAbw7lhJluTzHRmyFpZTtZO4kUdvnH8a8yEFU7VTxGymEC7pVt85cxXOFQ9xLu2v4uh7BCFbIlyVubevVoDY5sZ3bGLs4cOYqCIMzkCr92zqkfEqh9fQ5FocPNFIs9j+PZdnN13jMbsDAO7Ynx9hlzp9QReBycjFzNXQ7vi8+VvnmAg72LkXBpeyJmKz2DexLFMTtdCNBoTxfw41hg42gxQGrJ2iAZOzHkYCkwDxufaVBUYfsh0rcWOMYPdwwUqrYANZXld14oEyZuI1prpzjQZK8PXT36dpyefZjQ3ynB+mIbfAAVnGmc4XDlM0Smyd2YvjnJ4Q+ZentIv09Ktc4+J5njrOL/78u/y6MlH+bmHfo473Ddfg0d3Y+k06mzYvovxA68Qk4AyUaYFcUT69alXuJfGKvrEYR5DWwSBj+s6zBwdJwoClGHQmsqz+c1vJo4jkkimFVxpSaLZP1HndL3FhI64ZbRA3rE4Ve0w1fBp+jGDlolr2PiJTdFWNEK9ECgbGvpdaAdgKXDTtbRpBWn3cwYIsAksm5af8OTxOV6ztV+C5BqSIHmDawZNmmET13Q5VTvL7zz7B9y/cTdtv00SJxypHeHx04+TdbOcmD3BxuJGpv1pap0atw3dxnRrmj+of45G1LjguY42jvLH+/4YQxm8YdMb1k3fSBx3UMrCMK6fGq5SCs9rkx8YQtcq6ARUHHVX8Fg+gGdR5JkYhgUadOCz9XWPMPXUU4RKsfm+UeJ2nv5NmxneumPdvD43siPTTf70meNU/Qqx5fDm3YN8/pmvc3A2gx8VyNsQJjoNgDb0W1ANobeloOKDjaaQUbQDTZSkl0kWMJgxOeulITXWMXeOFXlop4xaXksSJG9gzaDJ7zz3OziWwyNjj7B/9gCub/Plo1/ASzxsw6JZfYFmaHGinaEVzzFTncHAICGhHbbxQ59KdPFJiB879U1maiab3r2JHeUdV/DRLapUnsJxBsnnVx6tWau9gGUVKJXuuirlebX8douJI4cIWm0C3yOJQgzDQge9SclDYHnQV6DSOXdR6IED+XyRpJCn4IJVOkW++BoOP/kdSoMjZArX1xSe60mtE7L/bJ1bR4tU2h2+cbhK2S3xJ8+c4eBZl+mOgaMgm7HohBFBDGEMXqxJ64ghFhbz2QY16Qwev2f5T6XAMiBL+m5oejGvjNc4PNmgP++wfUhe37UgQfIG1gpbPDnxJOONcV6afInAC5iYnKBqVumoDgP5AV679c38/qEv0UwMbAokNElIMDGZak9dVA2yl1Kak+0DbMpfvUTVudwOLCu/6u19ffej1PUzkEEZBm6+QGXiDH6rju830J3eplENpANzMJc9riAmshRuEQqjJu1mg9iLMByPxkRApAKKu0z0is21N75otkNU8cns7rui53FMA9tU+HMd+toWGSNDGAScnI2IKdLnQhRBrRmhDShkFBVPEyQABgZZCg5Uu0MABvIm/Tmbuc7ihZJlQADMp5KwA83zx2v8568d5J+869Yr+vhuJpKW7galo4jw6ed509BDGLHB09NPc6RxBM/yaBtttKMJwoADc03CJMFimog6CQkWFkWzSJREjOXHKDU0pn9xX6rKhC3FMt86860r/AgXue7weRMEGIZzXQVJJ5Nlw6493PrImzAi0J0Yw4+wve5rkACYaNMgICYiWXJ/280wuv1eCMY488pezJzDtvteR9QqctvDb+e1H/gQ2ULxnPPeDMySgzV05fvr/vSZk/z6X+7jX31pH3vnGqANppoxtU5IrQNVH7wEfJ1O+6h5GsViI7rBYoAEmGrFjFc98nZaszGADWWHyXYMcTpFyDHSPsrJapv9Z+qItSFB8kZlmhgDfWTcInknT0REjRpz5hxYYGIylBnildoraDS78rtwOppsI0GjqcZVojiiE3QotTSZ6MKnnDeUG+Jo7SidaJV0aeKCgnaL8oaNYKfjWRPXIrSBGIqRgu6gG9/W6GVJ3k3DYPLYCWbPThMGHk42h+0MEdQKTJ0+wfTxo1f74awbyjax+tZuvcqj1aO0w3On50zWPFq+h235dCxFIeOwcyiPF7AwKCfRsG3AYcCFopO2D8zfFnHul3MjhFaYBsPhvEHDS7MxGUkEOmAmASNjEGlFcpO2FFwJEiRvUEopxu5+Ha/Z9CADhQEKZmHJbSYms+EslSDtbzzZOoljuUSWIu5+VC1lEcQB4xssWvmLH+Tx1ORTTLWmaIXnjoa9XsXNFvoqrsFYnZzg1MsvAMlik6qZjv3XThlMA4WiGFrYPUHScFy8Vgu/XoUoBGVSnZrg2S9+nk6jxszJE/SPbb5qj+NGV/ErtKM0SCaJ5tBknRdPpZ+pxJpmqn2c8ZrHRKVFK4oZLZm4gEvaIHBqLsCPoREsPa4BKwY6gybQZLKVMNdOb0/sHCgHx4LdIwW8MGHf2UvrJhGrkz7JG9zW0lZ++I4f5ree/S2a7SaY6XJJBbvAa/KbmArqzCQBZ/2z6TgQrUCDkZhgKmq6ho2Ng4PHxa1mP1YY4x3b3sFQdujKPrirqPPC81jDw2RuueWqnG/sltvotJucfHkvSQKd6gwAJhYZu0AzrK14vyToZucx0j7L0Pfo37iJxBgniTRuPotevqyWuGwPjD4ApKNYnzk+hx9pDk/W+PIrk0w0NY5l46UZA+hUPGLXwAXm654RoGJIiAGfNJGAw1jZpJKYtEKN6WlM0v7HBJt2t3V9sZE9vUiKIhgrZ5hqeBydbvLMiVke2DZ45Z+EG5zUJG9wo/lR3rjpjQtNQmNkudPzmQvneLK2j0Znjll/FkMbaXuPA3mVJ2cWMDs+hg8h4dIAGenuMLsV5tmFOerVLTwz8SzPnH3mqjzGqyH/0EO4e/Zc1XPmCiVGtm7Hdm2UlY5kjQmYiS9iKbMk/eLMl8o4rotlK/qG+7ntDW9F6+QCdxaXajDvYBuK/pyNH8XkbJNSDJ632FceafBzFk0TDKMN3cQcoYY0QHZIA57GUBatRgJRGiD1QmPBfD104ajdH1AGPHOyQtuP6c/ZZCTrzpqQmuRN4FD1ECP5EQpBgZpXoe5kQEGTiIiQneWd6GMVTman6WQTNkwFdDIh1UyIWq3SsfA9m+adnLex0E/Fe4W/PnaSqfYkD2x84Ao/uqtDOc6Fd1pDcRTSnJ3h3ne/j1Ov7EVHPU29FzW/Mb2AaczNoCwTwxgipMD+b36VjTt3X5lC32Q8fwLfm6RcvpdnT8zxhb0ToDQtPyLjGIRhgu1MENIHFLEUWHMBCTDWX2KuGdEO51+pHGnwM7GBk9XuIICoG0pXrfwvXvBkjCpxZBMlRY7Ptjld6VDI2GwbXH3kt7gwqUneBB4YfYBfe9OvoZoNsjMNmj0XmFHk0W5VmS17dJz0AzebDZnMBPiOQbx8jENMelmbNVhpUvu0P0XOzPPgyIPkHFmh4HJpDXY2S21iAl3rCZAmrFiDX4GVzUCcUJ+rUO8fojA0zMSxo5zct/eKlPlmobVm39kaQWRzpuYyXm1zcq7DmWqbZ47P8dSRCpO1Fi2nSMggduKChqwNW4eyaV9kJcK1jSWvpImJo9I5j7DSSLmI+VsXOaRviphWZNP0NOWchWMoRksZZpvBuYcRKKVMpdRzSqm/uNC+EiRvcIcrhzlRP8GegT286bb3M7phDwVVwOwGt3S1iYC33/IeTNPEiAzaRYfYYWEAzzmWb+5peY0I2VYeoZzto+QO48fnW8FCrCb0OlQnzhLWq4xtHcUpFABFptAPcbdaEccLo1yJer5Uu6vYRx0P0OB36As6jL/4PLHnY7uy8serVetENIIMz5xx+c6RWcZbPlPxWdqBB1aT6XZCGtRyRIYDKh2cc3imSkyCBURxsiQdxKaSg22mX8p9jkX5nEG4EbDS50l3b3VpxBmOzwUcmW3x+OEZ8q40ua7iZ4F9F7OjBMkbXM7K0Yk6PHriUbSC49EUTd0kJk6ngeQ3UjNCPn/k88TEaK1Xn2iekH4el3/HGix5Jx2ovMzB2iny5QdxzbUbbn8ziKOIytkzZApFCv2D1MfPYgQ+hBFWJoPfai7sa4YR6O6XoGXRyuRo5AppNbQnL6uyHZrjp3ETza5bbmds19XtW73RKKV4eOcg7SCh0YloeREvnawQN4oEkYmdm6Qv65PBBWJM5ZNR8xl3Y7BiEpXOleytF56sB7Si9GNWDaB2TjzMYLBSFh2LtDapmB/E0/JivrB3nGPTN84I87WilNoMfA/w3y5mfwmSN7ix4hhZK8uLUy9ysHoQnYTkyePgEBOTt3MMG1lCQgwMtK0Jez+6IYs1F4PVe7F7uskGs4OMZft4x9DoFXpU11aSREQrZCLSSYJ34CA6vvzE4V6zQXXyLHPjp2nOzVDYthW9ZTPYNlbGpbdzKs643cx06flC0yLGAAXZnrE5OgxI4oiBO+7EGhmgMTdz2eVb75IkIEmuThPjntEiP/n2Pdy+sUjOMmh2IMJA+2WqnbQdJme0yJkt5vNAaFxQNtElDTDuMB9ODcBaoSFAA7qn+8O1wDYVb75l+LIf3w3sN4F/AVzUCDYZuHODe3byWUZzo9xZ2kbO9xisK7ZtuYsj7ZN85fRXONk4SURw/l4urYGLmyeZVzl+772/x2ePfZZjtUOMFa7fNQuTJMTzTgPg+7PYdpl8fjf1+ovEcZPBwaWrneggIJqewtm6BZW9vKwu+b5+dtz3IKdefhFlGJzat5famXG01oSeh45Wz+pQatXTq17botM7zcNxiYOA6tQkxQ0bKQ3fmBcvAPV62t/a13f/FT3PeLXDgbMNJupt9p6p8a67yszUPV4Yb9LxC4BJCIRJIV0Mm/nwZRKHkDXTyr5jQesCiTpMsgufz5D0cC7n9lrG/RZmJSJL2hI/Ws5d7Mf2RjOklHq65++Pa60/DqCU+l5gSmv9jFLqrRdzMAmSN7jB7CBlt8wes8DB+nGCwQKfPfmXxFHIADlq+EsD5Hx+5fmuDBsKDVA6oVEwzm17mF+1qZvF54HRB2nHbbzQoxNefxl34jikUn2KQn43U9NfxPOmsawCtepTmGaOkdH3UZl7Cq0TqtWXGBx8I5nMGM3WKwwOvInCG9+4cKwgmMP3pygWb7vkchiWTbtRY99jj2InCaGhAAMsa2n/IwCKbu8jWTuAaH4RJbBwITYojW1m4+499A2P3tB9kqslsT8x22Jzfw7TWJuo0Z9zaAURc82A/pxDZI5z/64cp6ttTPJMtdNPVckxaATphyYLzDeW+zHknTQlnWEsxNEV9X4+FWAGSwPk/OWQWY1QgEdMHpO8kyacuAnNaK0fXOW2NwDfr5R6P+mHpKSU+l9a6x9Z7WASJG9w20rbmOvM8WdzL+FuuJvJ09/CwqIZ1ekPHVx3gKnkbDpIR9Od3bz0GE2nuyHW5BqadkktTkOIwdLg2nlu6b+Fd2x/Bzv6dvB9u76PzErtQutMGNZpt49RLt9LkgS0OyeYnf06c3NP0WkfxvOnaLWOoHWCYRSYnvki6VWEC4ScPvNHDA+/k+Ght3HkyG8RxXW2bP4IjtNPomO0voR8fj1My2LTrXew5e7XMD3+Akx315Fc8cvUIFdqE9QzLOSui2KwTCIiTMshUyjwlo/8BM4NHCAhzdO7XBQnHJpsUsrY9OfXZipP1jF5750b+Ku9Z/nLF84wXu3DixK0VmyKNHW6MxijxSDW7Ll/Qro25NJMOzGLi2AZuAbYCprdKGmT1iRLNtR7OzMV6VSthcYDk1YMx6faZB0ZuNNLa/0LwC8AdGuS/+x8ARIkSN4UJloT7JvbR9ktk+iEdtQmIOK03aGUKBQqTYOVsPI7wu0GxETTzqol8/Rsx8I1XF7fdz/3bXqQ+0bvw1AGu/uvr7l4lep3qVafI47atCYP0+IUQTiFYRTRugnEJElvP6QHCahDk0y0P0WtfRqbmE7nKJZZoN05ysYNH2B4+B2XVZ7RnbupT0+x+fY7CQIfr36YxF8945GKDSzmX0Br8XU005qK32rd8AFyNZZp8M47Xl0T81TdY64dcNuG0sK2p0/M0QkjCq7NTKNNpRUQhDHtnIURJSSahew4i9Kr0A15i2pnpY5JHzAwMcha4LoWzUZ6oTV/qPkAOR80V5vLPNX2aAcROUe+5l8NGbhzExjIDvD+ne9nJD+ClVhL1oesUyWaX0di6QC5cxkKnMUbVXfnofww99b7GKkmbCltwfM8Dh06RHSe/rP1wrZLZDKb6bRPMzvzAiePfgrv8ScJa8eAJl5yltb5+veThEqSY6b2BLWZ0yTBKHEcYtuDgIHnjV9SecLpaaqPPkoSRxQGBrnjTW/DazYWA6RhQhxj+EG3rzgVtzIsvcJJwIGRrVvY/eDDPPwDf+uSyiEuLGObWEqxY6TA2+/YiG43sSM43YnI52DlSpxFyTZBGXgJpEFzocEUKDL/OtYCmGwsfoY00LuAySO7B9ja75KbT+0bd6Anm5KBwpCFtVeltX5Ma/29F9pPLjFuUFprTjZOsqW4hQ35Dbx5y5sZy4/xzHiaKq53BKuBgWblqR8qAr3Cu8TAoKSzOHaej975UfaUdtFOOhgYGLZBuVzGXL7W4TqhdUK9/hLV2kv0le9jcuovqddfplb/NljQuY+F9YxNQMUardK0X0tWwTUg3KVpBjaFMMBRR4hDh/Gzx0mSkFbrGKXSPezc8RNEUQPHGcYwli+UvJS/fz+nTj1H4UWL8oFxSu9/P9lCkQpArMmj8ZMEJ1Z0ErUwA2TZIwQMHLvA6K7b6RsZZWBsy1o8dTetkVKGkdLSmnjDi9BK8dD2ASZmK7xzaJLf9zYSBAGOCnHsPBaLzaXzOiHUw/mNHdKusaXvixgP8FEU0Jg4gG1Bq6d59uR0nbP1iEQDWjPqzzDpDhObGXIWvPOODVhr1Ad7M5MgeYMKkoDjteMMZgaxTZt//+S/Z9/cPs42zqY7xKTtCAqSlWpKUdospJPuTj0MFA4Ou84mWDsG2d2/G8uwGTBzHKsdo+7VGVNjaK1RV/lKVmtNcPQoSRiS2b2bRMX4/ji53I6FfXx/gtNnPsX09NeJKXTnf55mPm9mbKVNWIZKg6TW6bJGZrfdJVZpHk4jArsFI+YMygArC6BIkhYQ06jvxVCKOA5pNg9RKEAmM3be8mfvuYfNt+Sx/Bztfac5un8vpmlhui5Gyyfnh7RcG9suUDQz1OOl0zmMnEfStgCbnfc/yCMf+jDF/oE1e37FomMzTZ47VeEX3ncHn977Lfa2NqNVjKEUSmsMregvOjSrSyc8Ll6eRkCaJGLRfJpHC3ouXAMg6GmYsYHxWoRlQicGlGI8t4WcBVv7XG4b6+P+bf1YpjQWvloSJG9Qrunyli1vQWvN5w59jsnWJEcbPesI6ghia3Gw5PJ3gmFAorGJiWNF0q0VGhgM2WVCrakMJ/y9Zj93D9/NRGuCQ5VDeKFHzsjx7MyzmG2T129+PUXn6i3wG1ertJ58Emt0lHhmBuvBPXje0iCZyYwxMvI9VCp7if3DxHGIqRefg0aUBsGh7hgPQy1+jcVW+tQBJN1F/5wcPd9z6ReiUgNoDKq1fRw69JuMbng7jnPhFRnMcpn+cjp9wf7gZuLx02y+827mzp6hFc0x3a2AdGjSieeHgmicAY+g6pC0bQwnR6ZYpDg4RGNqEjebxclc+YWGbza7R4s8fmSG//q1Q1Rq/YyWLcrZhFfG6wSJTdYyaPkhrkoXV+41mIXZTsjytI4WZnddyW7f8ooicmaCYbu4tonXiMiZdUpOA2Vt4T33bOFn33l1Vqu5GUiQXGtapz/Gtb+CawZNPnv4s3x6/6ep+JWlN5oWKBhVZSatWnc4gVpscjXS6R6Dvk9Vm3iAi0vBKVBwywxkBnjvrW9kdzzEXGeOzx7+LBtzG3ly8kl+8JYfZHTnKCW3RMFeKUPIxZvPAGSoi3s+rf5++j74QZRtk7RaVFt7yWQ2AvPzHs/i+9NUKo8ThtNAyPJW4awJVs/FvdFzuwawwJ2fZbG8uVND6BnY2UEcB4LgDJ5/klZngsDz2JRbmoFId98vaoX3SyZfYGzPbViOy9SxwyjT5vB3vrHi41ZapSt/GCa7H3qY0/v2YjtZzhzaR0LC5lvvvJinT1yCR3YO8tTRWU5X2hyeCEm0j20Y1AONQ7ow8vFauKQTw6C7LKgy2WxmmYnBAww0iWqxUReosHQk7Dm0Sey3CYKAplkgZ0HGMHnbHXtw3WE+/NqtGNLMumYkSK616f3QmIRdb73WJSFv5zlUOcSRxhGM5WO0VBoUZ7VPNoLIMgGHDh3GgpDX+i6fcxImLBfCBEtrco5B0S6SMTPMdebQ+Tz+4Fb6M/08VH6ISrPC27e8PQ0USciG/AYAnpt6jsHMIFtLWy/5Meyf2087ai+s27eSMKwCJknSwTBslOOilEKVchSj2wHF1PRXCIIWc3NfI4kDmq3j5HK30WzuBapLjucuj1dh+nz1Dho9Z8hbQJoirh1jdxSoCtg5IEut9iRTnYj6Ky/zvtf9IOW+xbl83ssvk/g++QdWf3wj23bwwZ/7Vxzd9+ccfvzrWGFIZFsc2XYbI5OnKfoNwg7YbohrK8ojo0wcPoCTy/Ga97z/Zp0rd0lafsTZmsfukYu/qFNKsW0oRzuMeXjnEI++Mk7dTxi20hG1tXbEaFYx1dELHRoJ3WkdQbyw8HK6vY1yxxn3dhGfc+V1zolpGzkSw2T3IOwYGuJDD72G99w1RsMLKWbO3+8tLo0EybU2sBMK6yOjiVKKhzc8zJ8f/nM0moQEI4pIrPRl12g8PDxTQxhj6g6jsceWIGSk0WZLPsvJfgdCg3IMftjhTOsMW0tbFwbl3DV4F6Zhcs/YPbRaLQYGzu3/2pjfSN6+vOV6tpe3EybLVz5Yqtk8jNYBYVjDtvtoNg/heWfoH3gdw0Nvx/POUqs+R7X2YjcjSwPQ+P4hLiozVQLGJCQjLM1b27tKmAEkMeQB18Xw5kiONOE2j5apSIIXGfKe5sChSfr67mDrlr9NGM6Q37kTHcc0Gi9jGC75/NKpM63vPEHcaeNu38HIljvZMjpC8+gJvJGAjZ0TlCs1krxLfrOmeCLGLg7SP7KBN//wR9l8yx0YxvocPLXetIKIudalp7P7vns28e47EnKOyY83PY4emSHRSTqtVQOWiUG88C4rumAbioavCZLepAB5tLc7TSt4HiaQseCRXRv48Ou24MWah3cMMdCd/ykBcu1JkFxrlpv+rBO2afO6ja+j6lU5VDm44hoCKAWGJkZRxaBjGnytZBDaSTopPWMy29311vJOfur+n6IZNlEozO6XsOu6uO7Kj3u+Rnk5slaWLOfvT+vrS2thWkfUGy8zOPg2tO5gGBnCsJYGRmViGBZpn+F8A9hFLj7sQJCHpoK++W3z327z8dtW5HIP0G4/DaqNjkArj7ADUdYhjA2KnZBG9VEajUc5NP41TCfDm+/9TQwbHDUEyqQVxxgost0BF87WLcz+yZ/Q/OY3GfmX/5K7/tZH+c6f/gGdqZPkdB1DKYbjKay6Ith8F4N7HuSON78N05Ivy0sxUswwUrz0eaSWaSwMjvnF772L3/naQb5xcJq4HVLMWig0m/oyVL0AC4VpGQxkTUzlYyuFn2gaHd1dftnoLnq1MhO4Z0uRH3ntDt579wbyEhCvipsnSNZOg2GDV4PSJnBvjoVIbx24lR++/Yf54wN/TCfq0Oq0mIi6K9svqQmlo1N8w+bF+f4/BSiDgQDmHOiz+jCCFkH9NNtH7+OWgVsuuq/wSlJK4XnjTE1/hVbzCAODr2dw4PUcPPjvMEwb7DEmph4n9g6xEN1C0tH3BS44WziIISqBmUAUgOWw+MlZqApo2u0D6QHtJtqG+A7oTFpAHtPxaOcyHDJu4W5ewoxfpqPfRpCE+M2XGRl+N0qZvFBtYinF/eU8SRyTJBpcl2THdg5/9zuokye5+/6HOT1bZOrIGeyRMoE6RnaoTH7wHnbc8xq0htD3buj0c+vR9qE8P/amXVimybGZJhlbsX+iyWjZoR2G5BwTjWamGVLzNJapydgGg0WTqUa0kG/HAPqzCj/UJApcU7F7pMi77hrj/XdtYPPAzfHdtV7ceEFSawjb4OShcgJOPwP92+GzPwmtWTBtuPtvwt0fgv6tkO2/1iW+oraUttDwGxTtIolOCAkpGkUaSWPpoJP5biuVToOwNES2jeVZuInmtuHdvH7zG9hiFXjPrR8Ce32Nlmw2D2AaWRId43lT1GsHmJ75JkoZhCqD9k/RjFvYBmQMiEyw8pwbIOeDXs8nI9GgE0UWne7fe3Gx5BPUm5FHAS7FYYXtFImiFrGj2IBGUcSmzW1jb6SvsBWd37IwVeaBch4dBGitmf3936e6bz/NybMU2m2yDz9CbmiI4bfuYpPVR/VEQnI6YKb9AA98zwd56bGvUJ2cZObkcULfI1sokS2VyPfd2O/x9eSWDSX++Xtvp+GHZGyDX/rcXkaLGaIEztY9wlDz8K4B4kTz7MkqoChnbeJE0+jEDBVt7t7Sz2gpw/Mnqnz/a8boz7k8sH2ALQOyiPm1cGMFyb2fIfr6vyf0m2S3PkxnfC/G3CGcHa9HzZ4E3V1b7elPwoknoDAMb/lnsOHuNHjeoG4fup2P3v1Rfu07v8ZEc4J8Jk/DW77U03wTpALLWogVkYpoKIt7ytv52D0fwzAWJgSuG34wg5vZRKFwOzOzX8PrnOLgU1+hGjYYGE2AGpAmC5qPbUpDbJ47OBUNgQYVd+OnBscAw+4ZoxiTBlML0mBYJtEdTjW2sGPApmgMkzhttI7JZDaiDIskvovsc8exB99BffcAd2ebbNyYJvuYD5CJ1pw5dITs49/muO/TeeFbZI7upTCR4Gdd/K9MU3cymC8UGXnXD9Ef2hhem9GHXk8cRbz+Qx9GKUWSxOhEM3fmZDp6VlxV5ZxNOZd+n/zqD9zD08fmeHjXEI1OQKUTMJzP0JezeffdIdv7s5TzLrVOwHMna9w9ViLrmOwZLXJyrs3ukcJVn2sslrpxgqTW8NynYPogFgHR3jMownQS7rFvUCSmjYGNgR3WYPyp9H4nnoFb35kGzHf863RqxA1GKcXu/t38i9f9C37tiV+j4lXO2ccm6SbIMpfkZjVija0gV49QSpFdZwES0lqkYWSIwja53E5mph/DKFYoJgGL8xbB6gmKqyYDsiHuDrrIdFdnUMv3XfJ3uuK0bQ1hWTkGBt9ANPk0sW7TN/x6Mu4gUdRg586fpjN6hNG4g1kuUiyeO49tNoz4syee4YHPfA5jZgLPtug4OYphlcTzoVEn3lxAn/ZofO4r5H/soxRf/wZOHzuM0arTNzIKppkO1jFgeNvOV/O0ijXQn3N4cPsAWcckY6dvnJmmT8G1Fv4+W+vQ9A0+8vrtS1Yp2TN69eYXi9XdOBEhDqEwjFUaI6ofB0JM0qEZaqErPEEtG6wR+xPoF/8X4BIe+CrZba9JvxXf++tgr58BOK+WoQz2DOzhR+/8Uf780J8z1ZrCw8NuJIQZg9BeuWMuySnswOF2ZzPHase4c2h9zLeLoib1+l4MI0et+iKVypMEYRXLzOJmttLwpgnjDDat7v7dYLfSRXmTdNRq99OQ7flUnD9hSQ6IcZ0hTEuxlQkK2Tylu/8+R4/9F7zOcbTuoHU6LOOAs4mtOqbk5EmCAGWaqG60rn3tMaLDh3hwtoZ1dhy3XluYhhmWuzXbpiYoNYhGI6yXD+AdfBHtOETf+jbh5/+Sw69/mN2/+v+Xmsc6s3zlkaHC0u+VjeUsG8vr7+JTpG6cIGna6by0sI0FeImJoWKyPd8Xq7XoKyDBx5zdB7N7wSlBew72vAM2vw6G9yypXV2vbMPm3TvezcHKQQ7VDuHFHvV4FlNDyRwABZWoQp48HVpkyWKaNh+874d4150fJrhKK75fjChq0Omcodk6wNnxZzDMNmF4GkUGjcdU2KYTw85MugDtOetkAtUICiZYne7tPRfunThtnMhZ9IxgBXCADEQwMPJmGo3nKU6MUd50H8lWcJ0RKtXnyGV3MjT0BpTh0GjswzRdMqcPkVRm8YoFOseOkczOUnzHOwjHxzn0O7/FN7bewt17X2Rjvba0qC3QTreX85AiaibEuTaZ0y9Q/8yXCE+eIDIM/IkJknYbw3FQ9o3bfSDE1XTjBEmlSO78frwTXyfTmSFKHAxCtBVhsDx9cCrEwCDBZP4LKQDlpLXS4/9fe3ceXNd5n3n++zvL3YGLlQRJcRNJLRS1L9Hi3a5IdmTJ1sQT25k43Z1uO44Te6Z7KmlXqtI9k6USZ5Ku6XScjlzxtFMT23H3tLcklq24JTtOLGu1qZUSJVEkBW4gQGx3O8s7f5wLEKR4uYIASDyfKkgX95x77nsOAD73nPO+v/cf4KXvQN9mGLwM4jps+zm46u4lUU3nXHz8uo9z3eB1XNpzKU8deIoHXn2AfbV9hBYST8TUkzp+BC5MKQQFYot5/MDj3LXxrsVu+qxCYRWF4hpe3/WP+G49pLuJm2D5UdIWDBj4+azepQcEHuDaZ5SWXW4db9937K7yhpuTcyvuzP3lCYJVWJxiL09Rr+wkDHsort9AYdVGIjfBkSM/Ajw2bfokuVwvSVKjq3IlAFuvuQqSBNdq0dq/n9r+AzS/+CXc+DhJBGv37qU4epiUdjlZ2hNfxbQ7FBmBK8BYQlAokDy0k+L1NxAnMWF/H6vufT+t13Yz/eiP6P3ZD+BX1AtSlq50usb0o48tdjNO6eIJSYA11+MXuqAwQLFxBIhxwHQeys037mwSpzg79v5U7OeweAq/PgUYHHyO5OBz+F7I9Av/iP3TX1L6l1++oO9d+p7Pm9a+CYChyhA3Dt3I7ondPLz7YQ7UDpALchRLRXJBjrs23sWHr/gw0/H0Irf6jTzzSNJDlCpdTE96xFMBeO3Z261doHwm7No/Y0uZ7dG6Ps9sf6UkK5gJLvvRdrj6TBxPAlMUrriUZusAvT030gwO44KUtUMfZmzscgqFIYrFNQAEQZl8fhCA1muvYWHI6F99kclHHyUeHYXxcejpoWftWkb27acRNai23+v4axcxYI0GQRNyd2yifOPNJIcPk+/vJ6rVGf361+i57z78vj4sUBEBWdqKQcS2FYcWuxmndOH+S38Cnl8gv/k9MLCX5Jp7mH7qLyhvf4BiK2Lm30AfZh97AaRBVnw4375tmcQ1aK9jOEYJqVCjkEZYEuPt+T589na45z/C2puPLex5AfLMY6gyRD7IU86Vubz/cvJenlvX3Mp4c5ycn6NaqFKd/ad76ahUrqC7bzUTkzuI7TVK+cOksdEKA2aGbx7fQecN9xjb8xRbkg31CE74F5ENi8lOKVt0d1/PpRt/jb17v8jgincStcaolLOOOL29ncvLNXftIhkbY3rfTuIXn4WwxBQGY2P0Dq2kevAAlmTXdkMg8iBIaVdLyu6mewBhQGtshPShh3GTkyR79kAc0wRGxo4w+JFfwCtojKTIfLioQhI/gDs+CS98E7+6kS6/H9twB/7kQRqH92DtcWwz8wp7QNM3HOAnrj2yLW0X+876c6SkGMYkDi9oZfc1D++g/qWPYVf/zxTu+o0L+qxyRm+hl95C7zEdc3oKPYvXoNMQht20WiOkaQPn8iTFIIsyD5K5/bNm+m1ln3yOvbTafpz6c87cHAR7jHjItWfODcnl+snlVpCmKa3WCCMjD7Fq9X1MTT5DsbiOUmlDx3a6JKHx4os0Wk3c7t20Xt+VzbfVmiZsNyF68kmq7mgcH6gaj2xdx3se2U2ufbab6+3JdqxSgV3DxPk83qpV7Wlc2rv63HPUtj9NUKngr15NaevWszm0ItJ24f/rfrwgzMY9tqaxgU2w/jbY/SgFXFZtZzqbKT4lC8Fi0xFYjpQEj2Q2IGfKQx0JqlTjUUb8EC+tU2mPO3NTw7hnvgmX3QZb3rE4+7rMpWnM0Kr3c/Dgd2k0voHnH71AefzVRueyn2dwXOed2fWPWRmsWaaUW0daqBOGAwwOvIMw7KZWH2Zi4ikGBt5OsbgOSOjrvQ3f73zm5lotJp58kj27XqZ39zBhMEAr3T0biBEQuGNGqtI37rh25zSBcyRA6vsEK4dwBw5ArQZBgPX0kL788jHv1cTY9eQzbIhjut/1rtM7kCLS0cUXkgADW7IBbr3rIN8FxSocfiU745s+CMQY8Fghz6Zmi03uaK/NmGxCB5+sYtlws4+6a7LuuJkiSkGLZvN1+P5/yHqCrL0Z8uc2LZScqZR8fgXV7qsZGfkfdJxgaOYaewqx1+mX3oBuIMULPMJr17JixbsI/Cql0lp6em5g7MhjhLlBuruvYuzID8nnV1AsrCEITt5BxisW6b/nHpLPfY6p4WFcrUb9xiL2UhN/PGU6V8BvNWh4PoU0IQfsq/bSNVXHp30v0g9wL++Ech5aKaQO5/vEcULan2KHHQE+cZBj6oqNVH/+PvL9a872wIpI28UZkpD1QM13ZcU2892w6S3w+lNZeE4eIGiOcEmSzJ4ZZsoY07PjKwvARrc36znLsR0pGoQ8XL2at+x5lNJ3fw9+9n6F5ALzvBx9vbeQC3sYHXuEsbEnOH7aqxkzxQSOlQfKmKWUShuplDczObWDvr6bKBTW0t11JUlao6d6A0HQxUD/Wzly5AnK5S2UiqupVDadso2tffsgSZh87DHqT/2Y4u23MfWd7zA9XOCVdZdx9dM/IU4SmoCfJu1QTBkcH6Me5trzeIK12qXpPR/CECoVxhpNPKDrsOHao4HLcZP8w3/HvvHX6b7yFlb8ysexE99oFZHTcPH/9dRGYN922HA7DG2D7/42XHIDvPY4W6JRgKMdItoDz732VwTkg0k8YIKQIhEtCuTMKJjPm8ceo0QLaoegesli7N2ics4xPv4UlcoWgmDxqoOUy5vYvOlTTE+/ilnAq7v+nDRpgvk0GjuAEr5XxjkPLCFNxwnDleTzK4iiMXJhH339tzC08m7q9b309FxHGPbinKNWexnPywZ6e15IX9+tAOTz/afVNtdsEo+OElSrtPbsofXjHzM+2E/X4RrXDP+EABhMIhJgLMwTRk08HAGOJE2zS7Ec/UNNGj5eX4AdOUB1yrV/d40mMB369EYJwZGI9EhMceuVuChSSIqcg4v/r6d7Ndz28ezx5H5YdS2suRFyFeLn/zsBR2tcz/TvyEZPpqTALt9jMEk54Ds857ExjcnmQcqmDgRgYhi+/il4z+9BsWcBd27+jDZGeXbkWW5fffvs9FenwzqWsVk4Zj7d3VfR3X0V4+PPsHrV+8jnB0nSJrXaqzSbh4haY/h+SBD20N11NUnawIAwt4L+vtsIw27MjEply5zt2hvmdzxT+Q0bqD/zLFOPPwYT4xBF5MYnCZtNJvIFnHP0tZrtPkUz9aCy419NIsARzPyGGvitGu5wgqu72Q9zkPWGLURJ9pMIQ0obLyW/dSteUZVcRM7FxR+Sc3UNwd1/nFXnufbnKL70HYiz+1jZ5SqHj+HhkwQV/HiCSuooAluSrIv90Y74M90n8+Aiohe/zetRzOqtd5Lb8s4LLiy7c93ZZMpnFJBGtXrteWzVmevquoxyeSNxMonhE1W3kSZNGo29HBr5HkMr76Gv7+Z5ez/n3EnLwMUjI5gZcaMJ+QIUSzA1ldXJdQ6LExKyqxY9UYOUrNpsjuy37Jjy5L1VSKE+OYXfXm4w+0FvtqJUFOHMoHnC2UNF5Axc2KVjzkaQy25Q5Upw5b0ANNOAsXgjTaBJCBhh3CKwEquckSMgILs3lH2qSGf/2yDiFYY4EDV4ad/3CV/4JsN7d7Nv377F2LujGhMw/JPTXj3wAtZ3rz+PDVoYnpcjCMoU8kPk84NUylvo7t5Gb+9PccmaD1Otbpu390rTJgcPPkAUTXRcx8UxzqWkBw5AqwUTEzRy+WwIUhQzVSqzv6ubBHhl5WomiiUCaIeg4bf/RNOco3FDGTfQR4jDwTFnkjMTkwBQLhMMDOCVylnBAhE5a8svJOe69/8Gr0TicqSuRUhI4M2cJabgGVG+C0eSDeYObbbLPsyMtUxJSKmkMTe0YtI9T1Edf4HuUq7j2y6INIZEZxIzwrCXavVqfH/+Lj96Xp5qz/UnvR/b3LmTsW98kzSKspCMIsLJSQyYLhXJpzG9kxMUgZUjB5jOhUSej0/Wy3qSdu/WFvhPvQ6791JYv2G2+PnMH/BsaUXPg1KJ2iOPUH/heeLDh+dtf0WWo+UdkodfhPIAOb9GT7iXAik550FYhqAASR3PeaQ4osAxnYP9fpHtpfVMEmB45IC17KdAk3KzSdQYp/z4n1B+9dvQPH7OxgVU6oO1tyze+59PSZT1Wl4CCvmhk15uLVx3HV4+hxUKszV/K+0zwa7paca7uonKFXygO0noH59kqlyaHYrUbFfOMYzwsDHm+eyYrgPZh7UGRy/8R8DBSgrNJn5XF5Xbb6ewZQsicvaWd0gOXAab3gqlwazDg1cgdU2IGtn8koVBwnyZnFcmHxs900ZfkrCuPoqHAz87gygABRyhZwS5EkyPwdTICSYilHkx/GN4/cnFbsVpCSoV+j/yEZKbe3F+SlxMSQKohzmGhwY5UirRMI96GOKAeiFPIYpne7S6wBifM7KoWSwwXSoxUnG0yK5mHCh3UW8HdWES0kad/LZtNJ57jujgwYXfaZGLyPIOST+Ee/4jwcpt+H4J5wVEJCQ0s7OVaAriBuSK4BUxfApAj5skT0KcjB+7uXgcrz7Gockaw9/9HDz8h4uzX4tkYmI7rdYC3ANbdS2svu78v888cHFMa3gfyYM/xmoRrg4WQzFqUWxGOIwwatFKUqaCkJ5Gna5GneFqlVY+T+/UNKWpoz2vV40d4dpXXybOA157pOf0FJ5z5IC8g7gVMf7Atxj72tcY++u/xs0pWyciZ2Z5hyRkl8CCPHghxpxu9ZO7SZyjOXglzYHLSbvWQFAEPz874MGR3S+a6YEYA0law5Gj6LVgz4+yMZrLho/ZAvxKBTkIL4wC3hYEdL/zHfhxNmAoxMMj6726fmyMa1/dSVezQTVNGOmuMhVk83JN5fK0LKsy7JFdeo2ZCUvH0GFHOYUon1LIRRiOiOy+pOFobJiidOdb6bnvPo2TFDkHCkmAG/8ZVIbADwjxMQrgddEIupgcf5XXXcJ42mI6XyAqVQmCrtki6XMdppdReujmAKXkCFGhB0Z2nvy9J/dD/ch52a2F1t19FWHYs9jNWHKCSoV1f/xHFO64A46bnSPv+zT9gATonpog8nzGwzzrDh2kq5HdccxKrM/pnDNbnh+cnxVn9zladCD0fMJnpvEmmuTWqDSdyLk4p5A0sw+Y2bNmlprZTcct+7SZ7TSzHWZ257k18zxbdQ1c/yGorgMLgSakDfLROOVGjR5vCp8JalFE2owgjmcnugefBJ96Lk8fYwyERhB0s89fx/CePfCTr0BjgomROlNjJ+htemQ3TB1Y0N2VhZffuJHVv/VbhFdccez8XWnKRLWHuhmRH2IGpSgrN0dPNia35fuzH8pmhnrMnFVazRHUfXzs6Ie2/n5ym64m6B9YwD0UuTid65nkM8B9wPfnPmlmW4EPAlcBdwGfNVvCvViqa+At/xv8zB9A/wYISmABgXMUW3X69u2iXIvoG7ic8NK3wMAmglxf+5N9Ap6PtbIRln40hgO6k0N0xzWS2jj8j98h2v0T4ih543uvvQUGL1/Y/ZUFZ2bk16+j7773Q7V6NCidY+XoCJ5zODdNtdmYvWQa+R5jfXmaSTL7oSwlC8fD+aw364n61Xq9vYT5ImmttkB7J3LxOqeQdM4975zbcYJF9wJfds41nXOvAjuBpT8eYf2t2XyUpcH29PQlcHWIp2mQoza8i8azDxG1AqgMMFOQLSBg9iJa0EsYj9NnDSane5jc/So8+uf0P/wxeti9ePsmS0LPe99L5c1vgvToB6ZW+yxwRSO7rBoAKUYwFZBLErqARleZfeu6IYB8VxeVOOu04wKPaFVMHKaz43fTffuwVpP8xksXfP9ELjbn657kGmDPnO/3tp9b+q77MLz79+Cq90NUbz/pyCWT5BjFbByb2AG1UbD2kO505hO7B67dMd8lrM09TU/QrrwzsQt++GcLvjuyOFyanrBXqVcs0v/P/zmsPvrnEOAI249nih7WgoA4hoPVtQQbNpCrN+jZXyOMoRFNM9mTfUALY2N6rEDTgtlt0N8PpTJ+T/W87qPIcnDKkDSzvzezZ07wde/JXnaC59wJnsPMPmpmj5vZ44cOHTrddp8/ZnDFe+DKd0O5m5ldCYnIk1L0YgIvheY0iWvgmHsJ1REldWKvDDhs/a3QdzkpHuMUcU99EXZ8ezH2aslrtUaJ4w7zQV6AGi+8QO2JJ064LKhWWfHJX4NSCTxv9uzRcfSPpBLHFJKYNbt3weuvk4sTyq0sdL1GSmUCCAJiHHlSwvavYQxQrxOuGCQaGTmfuyiyLJyyb7hz7mymN98LrJ3z/SXAcIft3w/cD3DTTTedMEgX3ExQ+gX4+idhauakOAYCcB64iBgfn+ToQbQ8qYtwaUTg5+DwS7SCgLRnM/Ujo5QZIfju78Cmt2fDGGTWdO1VAr9MV9cVi92UeZHfvBnXik64LLdqFUG+AAMDeMUi6Y7sjoVjpvdq9ps2W7Q8iiCfh7hJkmR/tHEEdWLcqpT8mCOXeMRAGgZYqYQXhATd3ed7N0Uueufrcus3gA+aWd7MNgJbgEfP03udPyu3ZtNiHSMG1yAhbvdrnX2WiDweAViafaJPUibG69TGjzDEBM2kxJ69TdzYa7NbS5KEer3Octfbc+NFE5AAXi6HXyl3XF6+43bKW7dSuvzyLADJ7kcmwPOXrKNWKOIDddqznDabkGTLx8OAyWKAM8jtM2hkVzs8wI9igu5uBj72UYK+vvO6jyLLwbkOAXm/me0FbgP+1sy+DeCcexb4CvAc8ADwCefcCbp2LnHdQ/Cufwe54+/teOB1Hx0rGVTbUx9N4Hk+nmtBMk3UOMQEIbFzEObAa1LyRpn607s58Dd/SWMqYnR0lL179y74rsniCrq6WPGJX6Hnve/FX7duNih9IJ86ylGUjXkkKzyQlBzRQEoOCF1KWjDiwQTDcBiTHkyFPhNDg/S8972Eg4OLt3MiF5Fz7d36VefcJc65vHNupXPuzjnLftc5t8k5d7lz7lvn3tRFcu3PwU//TrtOa779ZIKfTrTPIn1wLcKwSlgeoukV8bLzSRISunMHqQQtDvk9xBZSCg4RxgfIP/77tPbtZGdQoOuStZ3eXS5ihS1bKN94Az3vex+0q+IYcOnwHgpJPGcS8KyTdXZKCcU4xW8ajOVotHvGeilYlFBtJVTffdeC74vIxUoVd07F8+Cmj8Dd/xcUZipN55itgVJcARbiJxGWxMTOo9keEBIApSjhgIO9nkdSrjLCVhqUKfE63va/ptKKqahs2LLllUp0v/Wt9H/0X8HatbNnlAApKdbuyhM4I6wf/XPtr7UoRQmtwCMl+/iWD3N0v+2tJKOjuDRFRI5lZgUze9TMftIuhPN/nOo1CsnTdf0HYev7YO2boWtl9lx1A3QNQtdQNgykcYhuv0W5Pf1tAJScY30yzjWNEfqGrqU3H1EMEjwg2f7fqPzD94hHNe/jclbYvInStddSWHsJxVtvzXq9Ah4ePkZaTIjzMVG7L/VMeboA6I7TrBzdypUMfeqTrPmt3yLa+zpO97lFTqQJvMM5dy1wHXCXmd16shfoFOZM3PPH2RRYT34BfvifYXIfTCTg5ox4SROOTsuc8QDSGhMHf0S9x6hMtMjXodv2UHnhV/He9j1g0wLuiCw1pWuvZcXHP048doT44AGiw6P47WmunHPEZbCulHDk2MJVPkCphFcskrz2Gub7dL39bQvdfJELgnPOATNjzcL210lHVSgkz1RlALbemwXj9v8KR16hZTkshTBtQDxFTIBrn022gi7KSQyuTnFqmlxaIdfKAzUM8ONJ+Lv/HT785Ww2ElmWvGKR8s0349IUv7uL6e3bGb3/czA1RdjwCRqOCJsZhHRUby/09DDwv/w81bvvxsKwwzuICEC7ROoTwGbgT51zPzrZ+rrcejYGNsOKy+DSt0HvBlrxBNNpY3axzflyfpiNu8Qn7L+SvMtTS3K8xsDR8819z2QTNYuYQRTT++53z96fNAwPD5tTxNy/7Tb8zZupvP3tVG+7ld73vY+gqgo7IsDATIGa9tdH5y50ziXOuevIxu/fYmbbTrYxnUmerSvvhnW3QzRBZeRlss8b2RwNNWJyZAe30hyl2b0Za02RmxomXX0jtf3TFGs7aBkEDiyO4Zu/Bj//lXagynJlZoSXrMGCAH/NGpKx9oenNBv+QaVCeNVV9P/s/0RQrZJOT1O47DK8cucxmSLLzIhz7qZTreScO2JmD5NNwvFMp/UUkmcrTeHILlh7K7z4INRGqRFzxAKqgU8SNQmAiDJJ/za8ZBqah/BHX2EgOUzMGC0PhpMquTQht+t1ig98htxP/5usuLosW/mNGwHY8GefZfJ732Pi4Ydp7t6DH8dU3vF2KjffQnz4MF1vetMit1TkwmJmg0DUDsgi8C7gD072Gv1rfLZcCnED1t4MPeuhPoEfdFGKJ8knAR5NHBATE7z2AEGlH6rrwc/hJQ2C5hi5BBq0SMOU+kQdHvsC/vpt+Ft/ZrH3TpaAXH8//ffdR/999+HSlHR6Gq9YxKUp8QHNQSpyFlYBX2jfl/SArzjn/uZkL1BIni0/gPW3Z4+HtsHwU+QtIe8icEd7t+ZpEqWQTh3Cejcx2TdAaXqYCMPHMUCdtA4u9wrNNKD1zN9SW3krPT09+P7SnYJTFpZ5Hn5XV/YYyK1VAQqRM+Wc2w5cfyavUced+XDnb8Nld0KxCt7szJK0gBrZQO8gbcGR3Vi+gq26jijoI24f/tj6qFHFIybe/bccfuGfaExPLsquiIjIUQrJ+ZCvwLb3Q5KAHe2Cf3x3fRsfpmv4FVqHniGXc3jdqyDXgzewhiP9JWrkyE8d4bIffIry0/8vxCoyICKymBSS8+XK98LWeyB3dKxjCdoF6ortZ2IYeZmwNoXnF/BWXAbm4488R9/0GFVa2cwP9cNMvPx98LPptKampmg0GoiIyMJSSM6XMA/v+X24/GeYOX9sAVm0zZQIS4kah0jrI+QmD5Ib2EZt3R20yqsoBwN4XZvwAMMjfOV7MLYbgNHRUSYmJhZ8l0REljuF5DlyzhFF40ef+Klfgq7VAHj4HN/1xhFiFtACksf+Am/XQ9T7LiEq9jOydj0H7RImo5UUacD3PkPj0EFycZUVK1Ys2D6JiEhGIXmOms39jI7+E1lJQGDVtXDpm4CQgJDwmLuSZXKkBC7GIyZNWuR6N9M9eBXjE0bu6cfwUiOw9r3I7f+N4B8/gx9lc062Wq3ZLcXxJPX67gXbTxGR5UgheY4KhVUMDr4Tm1sp554/gVXXAxFxrqtdxRUOM81eEgwI8AhxeAe34z3/DXrWb6ZQXcVotI2yV8te4BoE0Tj9/Slpmh4NYiCKJmg2Dy7UboqILEsKyXngebljn/ADuO5DEHaRxHVmZvYrMXPAA7LC8+1pddOUYNd3ybcOsjH3A3wvu5PZBI7seIjxl55g3WAX+TlzDRaLa+jpOWXlJREROQcKyfNl4+3wgb8g338ZufYl1wDoI5tMl9lS1Q5aDaJWRBI5CLOhIw5wBLTiJrkHfx12PgTupDO6iIjIPFPFnfNlxRVQWQFX3wc/2AetQ4RAMDuXQwIYWAFchOEw5yC3BksDLJmmQIs8E9TTkPpDn6E4cBmsOmnBehGRC8J0VOOx/Y8tdjNOSSF5PpX64I5fhdoheOwLAFjXCjjyWnsFBy67/zjzg8hNv3bMJgwIifDrI/Ds104Zks+8Pk7gGVes6p6//RARmWet3jK7PvBT87/h3/vLed2cQnKeOeeO7cTjh3DDR2DkJTjwXHYd1ctD2oDZu5WwH+gCZiY8arICjyMErkVo0Kw3aTz2JaphESorYcNt0L/pDe+/sruAp9m2RETmhe5JzqNGlPCtp/cz2YiOXbDiCrjvz+GGX4DmOFTXQXDs/H8lIEcWmzHg0glqrZhWO0c9psl5DnZ8Gx7/PDz9XwHYu/0Qh39ykNSlpC5lsCtPfyWPiIicO51JzqN84HHduh4q+RMc1lIfvPXXs0uvQ9fAi9+B0dfg0EtAg5mLo+3+rgReg8AHr/0xxs/1EFoC0TTR+F5aj/w/FC//EKWuEnkvx9MjTwOwLmxRLKyhUFh9vndXROSip5CcR2bG6p5i5xU8D979h4CD2mHw82ApHHyWhCwgQzwgzfq+tsv1JEDUmqTQakFtPwAtSoTbH6AvGIG+jVy2exi37g4YXE0Q6H6kiMh8UEgutJlTwzf/a0hieOxz8NAf4NIUt3orduAVaBwArwssJXEpwxYz4RxXtS+9hkAvNfjhrwMBbH0fRc+g/3JYf9ti7ZmIyEVHIbmY/ABu/leQOoLxYYKf+pfwT5+F1/4Rpg/h/BxR4zD9UUSJrLhARDazyNEfXAwHt8PHfkDWK0hEROaLQnKx+QHc/itw4FkoD8CbPwk3/RI8/Puk+57A+QFhMESp1EsrgOHGCobGn6KbCRzQzHWRX3s7FqqzjojIfFNILhUrr8r+n69AFbjz3+PvfIh80sQr9UPXELmpg1w2uR8mroZ8laTUxXQ1R7j5598w24iIiJw7heRS1bsebv5neM1JiJvZWeZxAqB/4VsmIrJsKCSXunxX9iUiIgtOxQREREQ6UEiKiIh0oJAUERHpQCEpIiLSgUJSRESkA4WkiIhIBwpJERGRDhSSIiIiHSgkRUREOlBIioiIdKCQFBER6UAhKSIi0oFCUkREpAOFpIiISAcKSRERkQ4UkiIiIh0oJEVERDpQSIqIiHSgkBQRkWXBzNaa2UNm9ryZPWtmnzrVa4KFaJiIiMgSEAP/xjn3pJl1AU+Y2YPOuec6vUBnkiIisiw45/Y5555sP54EngfWnOw1CkkREVl2zGwDcD3wo5Otp8utIiJyMRkws8fnfH+/c+7+uSuYWQX4/4D/1Tk3cbKNKSRFRORiMuKcu6nTQjMLyQLyr5xz//1UG9PlVhERWRbMzIC/AJ53zv3x6bxGISkiIsvFHcAvAO8wsx+3v95zshfocquIiCwLzrkfAHYmr9GZpIiISAcKSRERkQ4UkiIiIh0oJEVERDpQxx0REVl4rUl49R8WuxWnpJAUEZEFN+iX+JWea+Z9u5/gy/O6PV1uFRER6UAhKSIi0oFCUkREpAOFpIiISAcKSRERkQ4UkiIiIh0oJEVERDpQSIqIiHSgkBQREelAISkiItKBQlJERKQDhaSIiEgHCkkREZEOFJIiIiIdKCRFREQ6OKeQNLM/NLMXzGy7mX3VzHrmLPu0me00sx1mduc5t1RERGSBneuZ5IPANufcNcCLwKcBzGwr8EHgKuAu4LNm5p/je4mIiCyocwpJ59x3nHNx+9tHgEvaj+8FvuycazrnXgV2Arecy3uJiIgstPm8J/kvgG+1H68B9sxZtrf9nIiIyAUjONUKZvb3wNAJFv2mc+7r7XV+E4iBv5p52QnWdx22/1HgowDr1q07jSaLiIgsjFOGpHPuXSdbbma/CNwNvNM5NxOEe4G1c1a7BBjusP37gfsBbrrpphMGqYiIyGI4196tdwG/AdzjnKvNWfQN4INmljezjcAW4NFzeS8REZGFdsozyVP4T0AeeNDMAB5xzv2yc+5ZM/sK8BzZZdhPOOeSc3wvERGRBXVOIemc23ySZb8L/O65bF9ERGQxqeKOiIhIBwpJERGRDhSSIiIiHSgkRUREOlBIioiIdKCQFBER6UAhKSIi0oFCUkREpAOFpIiISAcKSRERkQ4UkiIismyY2efN7KCZPXM66yskRURkOfkvwF2nu7JCUkRElg3n3PeB0dNd/1ynyhIREVlKBszs8Tnf3++cu/9sN6aQFBGRi8mIc+6m+dqYLreKiIh0oJAUERHpQCEpIiLLhpl9CfghcLmZ7TWzXzrZ+ronKSIiC266GfPDVw4v+Ps65z50JusrJEVEZMFN5QZ4ZN1Hz8OW/2het6bLrSIiIh0oJEVERDpQSIqIiHSgkBQREelAISkiItKBQlJERKQDhaSIiEgHCkkREZEOFJIiIiIdKCRFREQ6UEiKiIh0oJAUERHpQCEpIiLSgUJSRESkA4WkiIhIBwpJERGRDhSSIiIiHSgkRUREOlBIioiIdKCQFBER6UAhKSIi0oFCUkREpAOFpIiISAcKSRERkQ4UkiIiIh0oJEVERDpQSIqIiHSgkBQREelAISkiItKBQlJERKQDhaSIiEgHCkkREZEOFJIiIiIdKCRFREQ6UEiKiIh0oJAUERHpQCEpIiLSgUJSRESkA4WkiIgsG2Z2l5ntMLOdZvZvT7W+QlJERJYFM/OBPwXeDWwFPmRmW0/2GoWkiIgsF7cAO51zrzjnWsCXgXtP9gKFpIiILBdrgD1zvt/bfq6j4Lw25ww98cQTI2b22nna/AAwcp62Pd/U1vPnQmrvhdRWuLDaeyG1FRavvevP14b3vvTst//1T18+cB42XTCzx+d8f79z7v72YzvB+u5kG1tSIemcGzxf2zazx51zN52v7c8ntfX8uZDaeyG1FS6s9l5IbYULr72nwzl31yK87V5g7ZzvLwGGT/YCXW4VEZHl4jFgi5ltNLMc8EHgGyd7wZI6kxQRETlfnHOxmf0q8G3ABz7vnHv2ZK9ZTiF5/6lXWTLU1vPnQmrvhdRWuLDaeyG1FS689i5Zzrm/A/7udNc35056z1JERGTZ0j1JERGRDi7qkDSzPzSzF8xsu5l91cx62s9vMLO6mf24/fWfF7mpQOf2tpd9ul1GaYeZ3bmIzZxpzwfM7FkzS83spjnPL7lj26mt7WVL6rgez8z+vZm9Pud4vmex23S8My3ztdjMbJeZPd0+no+f+hULy8w+b2YHzeyZOc/1mdmDZvZS+/+9i9nG5eSiDkngQWCbc+4a4EXg03OWveycu6799cuL07w3OGF722WTPghcBdwFfLZdXmkxPQPcB3z/BMuW2rE9YVuX6HE9kf8w53ie9r2UhXA2Zb6WiLe3j+dSHFbxX8h+H+f6t8B3nXNbgO+2v5cFcFGHpHPuO865uP3tI2RjYpask7T3XuDLzrmmc+5VYCdZeaVF45x73jm3YzHbcLpO0tYld1wvQGdc5ktOzjn3fWD0uKfvBb7QfvwF4H0L2abl7KIOyeP8C+Bbc77faGZPmdn3zOzNi9Wok5jb3jMupbTIlvqxnXGhHNdfbV+C//wSvMx2oRzDuRzwHTN7wsw+utiNOU0rnXP7ANr/X7HI7Vk2LvghIGb298DQCRb9pnPu6+11fhOIgb9qL9sHrHPOHTazG4GvmdlVzrmJJdreMy6lNB9Op60nsCjH9izbuijH9Q2NOEnbgT8DfpusXb8N/BHZB6ilYkkcwzN0h3Nu2MxWAA+a2QvtszeRN7jgQ9I5966TLTezXwTuBt7p2uNdnHNNoNl+/ISZvQxcBpz3m/hn017OopTSfDhVWzu8ZlGO7dm0lUU6rsc73bab2eeAvznPzTlTS+IYngnn3HD7/wfN7Ktkl4yXekgeMLNVzrl9ZrYKOLjYDVouLurLrWZ2F/AbwD3Oudqc5wdnOmiY2aXAFuCVxWnlUZ3aS1Y26YNmljezjWTtfXQx2ngqS/XYdrDkj2v7H8QZ7yfrhLSUnHGZr8VkZmUz65p5DPw0S++Ynsg3gF9sP/5FoNPVEZlnF/yZ5Cn8JyBPdkkF4JF2b8u3AP+nmcVAAvyyc+74G+WL4YTtdc49a2ZfAZ4juwz7CedcsojtxMzeD/wJMAj8rZn92Dl3J0vw2HZq61I8rifwGTO7juwS5i7gY4vamuOcTZmvRbYS+Gr77ysAvuice2Bxm3QsM/sS8DZgwMz2Av8O+H3gK2b2S8Bu4AOL18LlRRV3REREOrioL7eKiIicC4WkiIhIBwpJERGRDhSSIiIiHSgkRUREOlBIioiIdKCQFBER6UAhKSIi0sH/D/mbYfh1HP0XAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots( figsize=(8, 8))\n",
    "sc = ax.scatter(\n",
    "    embedding[:, 0],\n",
    "    embedding[:, 1],\n",
    "    c=Y_train.astype(int),\n",
    "    cmap=\"tab10\",\n",
    "    s=0.1,\n",
    "    alpha=0.5,\n",
    "    rasterized=True,\n",
    ")\n",
    "ax.axis('equal')\n",
    "ax.set_title(\"UMAP in Tensorflow embedding\", fontsize=20)\n",
    "plt.colorbar(sc, ax=ax);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### saving and loading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:29:02.377849Z",
     "start_time": "2021-04-16T20:29:02.374766Z"
    }
   },
   "outputs": [],
   "source": [
    "from umap.parametric_umap import load_ParametricUMAP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:29:23.271918Z",
     "start_time": "2021-04-16T20:29:02.379329Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "INFO:tensorflow:Assets written to: /tmp/model/encoder/assets\n",
      "Keras encoder model saved to /tmp/model/encoder\n",
      "INFO:tensorflow:Assets written to: /tmp/model/parametric_model/assets\n",
      "Keras full model saved to /tmp/model/parametric_model\n",
      "Pickle of ParametricUMAP model saved to /tmp/model/model.pkl\n"
     ]
    }
   ],
   "source": [
    "embedder.save('/tmp/model')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-16T20:29:24.369130Z",
     "start_time": "2021-04-16T20:29:23.274476Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pickle of ParametricUMAP model loaded from /tmp/model/model.pkl\n",
      "WARNING:tensorflow:No training configuration found in save file, so the model was *not* compiled. Compile it manually.\n",
      "Keras encoder model loaded from /tmp/model/encoder\n",
      "Keras full model loaded from /tmp/model/parametric_model\n"
     ]
    }
   ],
   "source": [
    "embedder = load_ParametricUMAP('/tmp/model')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:umap_dev_new]",
   "language": "python",
   "name": "conda-env-umap_dev_new-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
